//==============================================================================
// file generated on 25-08-2018 at 19-32-22
// 
// model name: mirollo-strogatz
//==============================================================================
dtmc

//------------------------------------------------------------------------------
// encoded structural parameters
// 
// N       = 8
// T       = 10
// EPSILON = 0.1
// RP      = 1
//------------------------------------------------------------------------------

//------------------------------------------------------------------------------
// broadcast failure probability
//------------------------------------------------------------------------------
const double mu=0.1;

//------------------------------------------------------------------------------
// Desired level of synchrony (value 1 means that all oscillators are perfectly synchronised)
//------------------------------------------------------------------------------
const double lambda=1.0;

formula unit_vector_x_avg_squared = pow((((unit_vector_x_1 * k_1) + (unit_vector_x_2 * k_2) + (unit_vector_x_3 * k_3) + (unit_vector_x_4 * k_4) + (unit_vector_x_5 * k_5) + (unit_vector_x_6 * k_6) + (unit_vector_x_7 * k_7) + (unit_vector_x_8 * k_8) + (unit_vector_x_9 * k_9) + (unit_vector_x_10 * k_10)) / 8), 2);
formula unit_vector_y_avg_squared = pow((((unit_vector_y_1 * k_1) + (unit_vector_y_2 * k_2) + (unit_vector_y_3 * k_3) + (unit_vector_y_4 * k_4) + (unit_vector_y_5 * k_5) + (unit_vector_y_6 * k_6) + (unit_vector_y_7 * k_7) + (unit_vector_y_8 * k_8) + (unit_vector_y_9 * k_9) + (unit_vector_y_10 * k_10)) / 8), 2);
formula order_parameter = pow(unit_vector_x_avg_squared + unit_vector_y_avg_squared, 0.5);

//------------------------------------------------------------------------------
// the total number of oscillators at any given time
//------------------------------------------------------------------------------
formula num_oscillators = k_1 + k_2 + k_3 + k_4 + k_5 + k_6 + k_7 + k_8 + k_9 + k_10;

//------------------------------------------------------------------------------
// true after all oscillators have been assigned phases
//------------------------------------------------------------------------------
formula assigned = num_oscillators = 8;

//------------------------------------------------------------------------------
// true if all oscillators have the same phase
//------------------------------------------------------------------------------
formula synchronised = k_1 = 8 | k_2 = 8 | k_3 = 8 | k_4 = 8 | k_5 = 8 | k_6 = 8 | k_7 = 8 | k_8 = 8 | k_9 = 8 | k_10 = 8;

//------------------------------------------------------------------------------
// message loss probabilities
//------------------------------------------------------------------------------
formula pr_fail_0_0 = 1;
formula pr_fail_1_0 = (pow(mu, 0) * pow(1 - mu, 1) * 1.0);
formula pr_fail_1_1 = (pow(mu, 1) * pow(1 - mu, 0) * 1.0);
formula pr_fail_2_0 = (pow(mu, 0) * pow(1 - mu, 2) * 1.0);
formula pr_fail_2_1 = (pow(mu, 1) * pow(1 - mu, 1) * 2.0);
formula pr_fail_2_2 = (pow(mu, 2) * pow(1 - mu, 0) * 1.0);
formula pr_fail_3_0 = (pow(mu, 0) * pow(1 - mu, 3) * 1.0);
formula pr_fail_3_1 = (pow(mu, 1) * pow(1 - mu, 2) * 3.0);
formula pr_fail_3_2 = (pow(mu, 2) * pow(1 - mu, 1) * 3.0);
formula pr_fail_3_3 = (pow(mu, 3) * pow(1 - mu, 0) * 1.0);
formula pr_fail_4_0 = (pow(mu, 0) * pow(1 - mu, 4) * 1.0);
formula pr_fail_4_1 = (pow(mu, 1) * pow(1 - mu, 3) * 4.0);
formula pr_fail_4_2 = (pow(mu, 2) * pow(1 - mu, 2) * 6.0);
formula pr_fail_4_3 = (pow(mu, 3) * pow(1 - mu, 1) * 4.0);
formula pr_fail_4_4 = (pow(mu, 4) * pow(1 - mu, 0) * 1.0);
formula pr_fail_5_0 = (pow(mu, 0) * pow(1 - mu, 5) * 1.0);
formula pr_fail_5_1 = (pow(mu, 1) * pow(1 - mu, 4) * 5.0);
formula pr_fail_5_2 = (pow(mu, 2) * pow(1 - mu, 3) * 10.0);
formula pr_fail_5_3 = (pow(mu, 3) * pow(1 - mu, 2) * 10.0);
formula pr_fail_5_4 = (pow(mu, 4) * pow(1 - mu, 1) * 5.0);
formula pr_fail_5_5 = (pow(mu, 5) * pow(1 - mu, 0) * 1.0);
formula pr_fail_6_0 = (pow(mu, 0) * pow(1 - mu, 6) * 1.0);
formula pr_fail_6_1 = (pow(mu, 1) * pow(1 - mu, 5) * 6.0);
formula pr_fail_6_2 = (pow(mu, 2) * pow(1 - mu, 4) * 15.0);
formula pr_fail_6_3 = (pow(mu, 3) * pow(1 - mu, 3) * 20.0);
formula pr_fail_6_4 = (pow(mu, 4) * pow(1 - mu, 2) * 15.0);
formula pr_fail_6_5 = (pow(mu, 5) * pow(1 - mu, 1) * 6.0);
formula pr_fail_6_6 = (pow(mu, 6) * pow(1 - mu, 0) * 1.0);
formula pr_fail_7_0 = (pow(mu, 0) * pow(1 - mu, 7) * 1.0);
formula pr_fail_7_1 = (pow(mu, 1) * pow(1 - mu, 6) * 7.0);
formula pr_fail_7_2 = (pow(mu, 2) * pow(1 - mu, 5) * 21.0);
formula pr_fail_7_3 = (pow(mu, 3) * pow(1 - mu, 4) * 35.0);
formula pr_fail_7_4 = (pow(mu, 4) * pow(1 - mu, 3) * 35.0);
formula pr_fail_7_5 = (pow(mu, 5) * pow(1 - mu, 2) * 21.0);
formula pr_fail_7_6 = (pow(mu, 6) * pow(1 - mu, 1) * 7.0);
formula pr_fail_7_7 = (pow(mu, 7) * pow(1 - mu, 0) * 1.0);
formula pr_fail_8_0 = (pow(mu, 0) * pow(1 - mu, 8) * 1.0);
formula pr_fail_8_1 = (pow(mu, 1) * pow(1 - mu, 7) * 8.0);
formula pr_fail_8_2 = (pow(mu, 2) * pow(1 - mu, 6) * 28.0);
formula pr_fail_8_3 = (pow(mu, 3) * pow(1 - mu, 5) * 56.0);
formula pr_fail_8_4 = (pow(mu, 4) * pow(1 - mu, 4) * 70.0);
formula pr_fail_8_5 = (pow(mu, 5) * pow(1 - mu, 3) * 56.0);
formula pr_fail_8_6 = (pow(mu, 6) * pow(1 - mu, 2) * 28.0);
formula pr_fail_8_7 = (pow(mu, 7) * pow(1 - mu, 1) * 8.0);
formula pr_fail_8_8 = (pow(mu, 8) * pow(1 - mu, 0) * 1.0);


//------------------------------------------------------------------------------
// time taken to achieve synchronisation
//------------------------------------------------------------------------------
rewards "time_to_synch"
	assigned & (k_10 > 0) & (!synchronised) : 1 / 10;
	assigned & (k_10 = 0 & k_1 > 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0) & (!synchronised) : 9 / 10;
	assigned & (k_10 = 0 & k_2 > 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0) & (!synchronised) : 8 / 10;
	assigned & (k_10 = 0 & k_3 > 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0) & (!synchronised) : 7 / 10;
	assigned & (k_10 = 0 & k_4 > 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0) & (!synchronised) : 6 / 10;
	assigned & (k_10 = 0 & k_5 > 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0) & (!synchronised) : 5 / 10;
	assigned & (k_10 = 0 & k_6 > 0 & k_7 = 0 & k_8 = 0 & k_9 = 0) & (!synchronised) : 4 / 10;
	assigned & (k_10 = 0 & k_7 > 0 & k_8 = 0 & k_9 = 0) & (!synchronised) : 3 / 10;
	assigned & (k_10 = 0 & k_8 > 0 & k_9 = 0) & (!synchronised) : 2 / 10;
	assigned & (k_10 = 0 & k_9 > 0) & (!synchronised) : 1 / 10;
endrewards

label "target" = order_parameter >= lambda;

//------------------------------------------------------------------------------
// order parameter
//------------------------------------------------------------------------------
const double unit_vector_x_1 = 1.000000000000; 
const double unit_vector_y_1 = 0.000000000000;
const double unit_vector_x_2 = 0.809016994375; 
const double unit_vector_y_2 = 0.587785252292;
const double unit_vector_x_3 = 0.309016994375; 
const double unit_vector_y_3 = 0.951056516295;
const double unit_vector_x_4 = -0.309016994375; 
const double unit_vector_y_4 = 0.951056516295;
const double unit_vector_x_5 = -0.809016994375; 
const double unit_vector_y_5 = 0.587785252292;
const double unit_vector_x_6 = -1.000000000000; 
const double unit_vector_y_6 = 0.000000000000;
const double unit_vector_x_7 = -0.809016994375; 
const double unit_vector_y_7 = -0.587785252292;
const double unit_vector_x_8 = -0.309016994375; 
const double unit_vector_y_8 = -0.951056516295;
const double unit_vector_x_9 = 0.309016994375; 
const double unit_vector_y_9 = -0.951056516295;
const double unit_vector_x_10 = 0.809016994375; 
const double unit_vector_y_10 = -0.587785252292;


module oscillator_population
	//------------------------------------------------------------------------------
	// global state encoding
	//------------------------------------------------------------------------------
	k_1 : [0..8] init 0;
	k_2 : [0..8] init 0;
	k_3 : [0..8] init 0;
	k_4 : [0..8] init 0;
	k_5 : [0..8] init 0;
	k_6 : [0..8] init 0;
	k_7 : [0..8] init 0;
	k_8 : [0..8] init 0;
	k_9 : [0..8] init 0;
	k_10 : [0..8] init 0;

	//------------------------------------------------------------------------------
	// initial transitions to configured global states
	//------------------------------------------------------------------------------
	[step] (!assigned) ->
		(1 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 8) +
		(8 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 7) +
		(28 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 6) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 5) +
		(70 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 4) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 3) +
		(28 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 6) & (k_10' = 2) +
		(8 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 7) & (k_10' = 1) +
		(1 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 8) & (k_10' = 0) +
		(8 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 7) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 6) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 5) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 4) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 3) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 5) & (k_10' = 2) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 6) & (k_10' = 1) +
		(8 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 7) & (k_10' = 0) +
		(28 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 6) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 5) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 4) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 3) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 4) & (k_10' = 2) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 5) & (k_10' = 1) +
		(28 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 6) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 5) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 4) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 3) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 3) & (k_10' = 2) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 4) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 5) & (k_10' = 0) +
		(70 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 4) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 3) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 2) & (k_10' = 2) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 3) & (k_10' = 1) +
		(70 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 4) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 3) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 1) & (k_10' = 2) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 2) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 3) & (k_10' = 0) +
		(28 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 6) & (k_9' = 0) & (k_10' = 2) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 6) & (k_9' = 1) & (k_10' = 1) +
		(28 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 6) & (k_9' = 2) & (k_10' = 0) +
		(8 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 7) & (k_9' = 0) & (k_10' = 1) +
		(8 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 7) & (k_9' = 1) & (k_10' = 0) +
		(1 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 8) & (k_9' = 0) & (k_10' = 0) +
		(8 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 7) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 6) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 5) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 4) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 3) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 5) & (k_10' = 2) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 6) & (k_10' = 1) +
		(8 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 7) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 6) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 5) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 4) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 3) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 4) & (k_10' = 2) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 5) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 6) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 5) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 4) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 3) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 4) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 5) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 4) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 2) & (k_10' = 2) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 3) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 4) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 3) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 1) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 2) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 3) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 5) & (k_9' = 0) & (k_10' = 2) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 5) & (k_9' = 1) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 5) & (k_9' = 2) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 6) & (k_9' = 0) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 6) & (k_9' = 1) & (k_10' = 0) +
		(8 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 7) & (k_9' = 0) & (k_10' = 0) +
		(28 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 6) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 5) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 4) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 3) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 4) & (k_10' = 2) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 5) & (k_10' = 1) +
		(28 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 6) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 5) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 4) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 3) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 4) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 5) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 4) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 3) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 2) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 3) & (k_10' = 1) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 4) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 1) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 2) & (k_10' = 1) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 3) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 4) & (k_9' = 0) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 4) & (k_9' = 1) & (k_10' = 1) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 4) & (k_9' = 2) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 5) & (k_9' = 0) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 5) & (k_9' = 1) & (k_10' = 0) +
		(28 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 6) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		(70 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(70 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(70 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(28 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 6) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 6) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(28 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 6) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 6) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 6) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(28 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 6) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(8 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 7) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(8 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 7) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(8 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 7) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 8) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(8 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 7) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 6) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 5) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 4) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 3) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 2) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 6) & (k_10' = 1) +
		(8 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 7) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 6) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 5) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 4) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 3) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 2) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 5) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 6) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 5) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 4) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 4) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 5) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 4) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 2) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 3) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 4) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 3) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 2) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 3) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 2) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 5) & (k_9' = 1) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 5) & (k_9' = 2) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 6) & (k_9' = 0) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 6) & (k_9' = 1) & (k_10' = 0) +
		(8 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 7) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 6) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 5) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 4) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 3) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 2) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 5) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 6) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 5) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 4) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 5) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 4) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 3) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 4) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 4) & (k_9' = 2) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 5) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 5) & (k_9' = 1) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 6) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 5) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 5) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 5) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 5) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 5) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 6) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 6) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 6) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(8 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 7) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(28 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 6) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 5) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 4) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 3) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 2) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 1) +
		(28 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 6) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 5) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 4) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 5) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 4) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 3) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 1) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 4) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 1) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 3) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 1) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 4) & (k_9' = 2) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 5) & (k_9' = 1) & (k_10' = 0) +
		(28 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 6) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 4) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 4) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 4) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 5) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 5) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(28 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 6) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(70 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(70 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(70 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(70 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(28 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 6) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 6) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(28 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 6) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 6) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 6) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(28 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 6) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 6) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 6) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 6) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(28 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 6) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(8 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 7) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(8 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 7) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(8 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 7) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(8 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 7) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 8) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(8 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 7) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 6) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 5) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 4) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 3) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 2) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 6) & (k_10' = 1) +
		(8 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 7) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 6) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 5) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 4) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 3) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 2) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 5) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 6) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 5) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 4) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 4) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 5) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 4) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 2) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 3) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 4) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 3) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 2) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 3) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 2) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 1) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 2) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 6) & (k_9' = 0) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 6) & (k_9' = 1) & (k_10' = 0) +
		(8 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 7) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 6) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 5) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 4) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 3) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 2) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 5) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 6) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 5) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 4) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 5) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 4) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 3) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 2) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 5) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 5) & (k_9' = 1) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 6) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 5) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 5) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 5) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 6) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 6) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 6) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(8 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 7) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 6) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 5) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 4) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 3) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 2) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 6) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 5) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 5) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 4) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 3) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 2) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 5) & (k_9' = 1) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 6) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 4) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 4) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 5) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 5) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 6) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 5) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 5) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 5) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 5) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 5) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 5) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 5) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 6) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 6) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 6) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 6) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(8 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 7) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(28 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 6) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 5) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 4) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 3) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 2) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 1) +
		(28 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 6) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 5) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 4) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 5) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 4) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 3) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 1) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 4) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 1) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 3) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 1) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 2) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 1) & (k_10' = 0) +
		(28 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 6) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 4) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 5) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(28 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 6) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 4) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 4) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 4) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 5) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 5) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(28 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 6) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(70 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(70 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(70 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(70 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(70 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(28 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 6) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 6) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(28 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 6) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 6) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 6) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(28 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 6) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 6) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 6) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 6) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(28 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 6) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 6) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 6) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 6) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 6) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(28 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 6) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(8 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 7) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(8 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 7) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(8 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 7) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(8 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 7) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(8 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 7) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 8) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(8 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 7) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 6) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 5) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 4) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 3) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 2) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 6) & (k_10' = 1) +
		(8 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 7) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 6) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 5) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 4) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 3) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 2) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 5) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 6) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 5) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 4) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 4) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 5) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 4) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 2) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 3) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 4) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 3) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 2) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 3) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 2) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 1) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 2) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 6) & (k_9' = 0) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 6) & (k_9' = 1) & (k_10' = 0) +
		(8 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 7) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 6) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 5) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 4) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 3) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 2) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 5) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 6) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 5) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 4) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 5) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 4) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 3) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 2) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 5) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 5) & (k_9' = 1) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 6) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 6) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 6) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 6) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(8 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 7) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 6) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 5) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 4) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 3) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 2) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 6) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 5) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 5) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 4) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 3) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 2) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 5) & (k_9' = 1) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 6) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 5) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 5) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 6) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 5) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 5) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 5) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 5) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 6) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 6) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 6) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 6) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(8 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 7) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 6) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 5) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 4) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 3) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 2) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 6) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 5) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 5) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 4) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 3) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 2) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 1) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 6) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 5) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 6) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 4) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 4) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 5) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 5) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 6) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 5) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 5) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 5) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 5) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 5) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 5) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 5) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 5) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 5) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 6) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 6) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 6) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 6) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 6) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(8 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 7) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(28 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 6) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 5) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 4) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 3) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 2) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 1) +
		(28 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 6) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 5) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 4) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 5) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 4) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 3) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 1) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 4) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 1) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 3) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 1) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 2) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 1) & (k_10' = 0) +
		(28 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 6) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(28 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 6) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 4) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 5) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(28 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 6) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 4) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 4) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 4) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 5) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 5) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(28 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 6) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(70 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(70 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(70 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(70 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(70 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(70 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(28 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 6) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 6) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(28 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 6) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 6) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 6) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(28 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 6) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 6) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 6) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 6) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(28 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 6) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 6) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 6) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 6) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 6) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(28 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 6) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 6) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 6) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 6) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 6) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 6) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(28 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 6) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(8 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 7) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(8 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 7) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(8 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 7) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(8 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 7) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(8 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 7) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(8 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 7) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 8) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(8 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 7) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 6) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 5) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 4) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 3) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 2) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 6) & (k_10' = 1) +
		(8 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 7) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 6) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 5) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 4) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 3) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 2) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 5) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 6) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 5) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 4) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 4) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 5) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 4) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 2) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 3) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 4) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 3) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 2) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 3) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 2) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 1) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 2) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 6) & (k_9' = 0) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 6) & (k_9' = 1) & (k_10' = 0) +
		(8 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 7) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 6) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 5) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 4) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 3) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 2) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 5) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 6) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 5) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 4) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 5) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 4) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 3) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 2) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 5) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 5) & (k_9' = 1) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 6) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 6) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 6) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 6) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(8 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 7) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 6) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 5) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 4) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 3) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 2) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 6) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 5) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 5) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 4) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 3) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 2) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 5) & (k_9' = 1) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 6) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 5) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 5) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 6) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 6) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 6) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 6) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 6) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(8 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 7) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 6) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 5) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 4) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 3) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 2) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 6) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 5) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 5) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 4) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 3) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 2) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 1) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 6) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 5) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 6) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 5) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 5) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 6) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 5) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 5) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 5) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 5) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 5) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 6) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 6) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 6) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 6) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 6) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(8 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 7) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 6) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 5) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 4) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 3) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 2) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 6) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 5) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 5) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 4) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 3) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 2) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 1) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 6) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 6) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 5) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 6) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(40320 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 4) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 4) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 5) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 5) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 6) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 5) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 5) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 5) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 5) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 5) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 5) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 5) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 5) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 5) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 5) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 5) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 6) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 6) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 6) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 6) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 6) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 6) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(8 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 1) & (k_4' = 7) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(28 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 6) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 5) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 4) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 3) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 2) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 1) +
		(28 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 6) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 5) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 4) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 5) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 4) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 3) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 1) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 4) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 1) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 3) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 1) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 2) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 1) & (k_10' = 0) +
		(28 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 6) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(28 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 6) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(28 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 6) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 4) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 5) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(28 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 6) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 4) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 4) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 4) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 5) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 5) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(28 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 2) & (k_4' = 6) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 3) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(70 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(70 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(70 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(70 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(70 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(70 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(70 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 4) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 5) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 5) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 5) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 5) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 5) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 5) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 5) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 5) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 5) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 5) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 5) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 5) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 5) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 5) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 5) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 5) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 5) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 5) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 5) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 5) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 5) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 5) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 5) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 5) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 5) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 5) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 5) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 5) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(28 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 6) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 6) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(28 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 6) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 6) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 6) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(28 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 6) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 6) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 6) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 6) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(28 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 6) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 6) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 6) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 6) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 6) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(28 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 6) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 6) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 6) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 6) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 6) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 6) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(28 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 6) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 6) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 6) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 6) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 6) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 6) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 6) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(28 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 6) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(8 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 7) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(8 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 7) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(8 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 7) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(8 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 7) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(8 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 7) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(8 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 7) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(8 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 7) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1 / pow(10, 8)): (k_1' = 0) & (k_2' = 0) & (k_3' = 8) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(8 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 7) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 6) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 5) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 4) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 3) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 2) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 6) & (k_10' = 1) +
		(8 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 7) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 6) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 5) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 4) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 3) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 2) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 5) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 6) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 5) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 4) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 4) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 5) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 4) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 2) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 3) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 4) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 3) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 2) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 3) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 2) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 1) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 2) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 6) & (k_9' = 0) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 6) & (k_9' = 1) & (k_10' = 0) +
		(8 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 7) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 6) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 5) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 4) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 3) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 2) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 5) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 6) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 5) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 4) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 5) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 4) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 3) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 2) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 5) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 5) & (k_9' = 1) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 6) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 6) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 6) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 6) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(8 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 7) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 6) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 5) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 4) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 3) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 2) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 6) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 5) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 5) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 4) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 3) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 2) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 5) & (k_9' = 1) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 6) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 5) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 5) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 6) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 6) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 6) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 6) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 6) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(8 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 7) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 6) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 5) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 4) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 3) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 2) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 6) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 5) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 5) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 4) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 3) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 2) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 1) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 6) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 5) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 6) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 5) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 5) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 6) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 6) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 6) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 6) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 6) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 6) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(8 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 7) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 6) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 5) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 4) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 3) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 2) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 6) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 5) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 5) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 4) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 3) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 2) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 1) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 6) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 6) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 5) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 6) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(40320 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 5) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 5) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 6) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 5) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 5) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 5) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 5) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 5) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 5) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 6) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 6) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 6) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 6) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 6) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 6) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(8 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 0) & (k_4' = 7) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 6) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 5) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 4) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 3) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 2) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 6) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 5) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 5) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 4) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 3) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 2) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 1) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 6) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 6) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 6) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(40320 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 5) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 6) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(40320 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(40320 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(40320 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(40320 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(40320 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(40320 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 4) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 4) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 5) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 5) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 1) & (k_4' = 6) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 2) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 3) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 4) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 4) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 4) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 4) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 4) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 4) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 4) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 4) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 4) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 4) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 4) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 4) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 4) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 5) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 5) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 5) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 5) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 5) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 5) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 5) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 5) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 5) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 5) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 5) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 5) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 5) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 6) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 6) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 6) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 6) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 6) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 6) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 6) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(8 / pow(10, 8)): (k_1' = 0) & (k_2' = 1) & (k_3' = 7) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(28 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 6) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 5) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 4) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 3) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 2) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 1) +
		(28 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 6) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 5) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 4) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 5) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 4) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 3) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 1) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 4) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 1) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 3) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 1) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 2) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 1) & (k_10' = 0) +
		(28 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 6) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(28 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 6) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(28 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 6) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(28 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 6) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 4) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 5) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(28 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 0) & (k_4' = 6) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 1) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 2) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 3) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 3) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 3) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 4) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 4) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 4) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 5) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 5) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(28 / pow(10, 8)): (k_1' = 0) & (k_2' = 2) & (k_3' = 6) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 3) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(70 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(70 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(70 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(70 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(70 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(70 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(70 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(70 / pow(10, 8)): (k_1' = 0) & (k_2' = 4) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 5) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(28 / pow(10, 8)): (k_1' = 0) & (k_2' = 6) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 6) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(28 / pow(10, 8)): (k_1' = 0) & (k_2' = 6) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 6) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 6) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(28 / pow(10, 8)): (k_1' = 0) & (k_2' = 6) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 6) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 6) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 6) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(28 / pow(10, 8)): (k_1' = 0) & (k_2' = 6) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 6) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 6) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 6) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 6) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(28 / pow(10, 8)): (k_1' = 0) & (k_2' = 6) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 6) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 6) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 6) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 6) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 6) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(28 / pow(10, 8)): (k_1' = 0) & (k_2' = 6) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 6) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 6) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 6) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 6) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 6) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 6) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(28 / pow(10, 8)): (k_1' = 0) & (k_2' = 6) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 6) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 6) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 6) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 6) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 6) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 6) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 0) & (k_2' = 6) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(28 / pow(10, 8)): (k_1' = 0) & (k_2' = 6) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(8 / pow(10, 8)): (k_1' = 0) & (k_2' = 7) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(8 / pow(10, 8)): (k_1' = 0) & (k_2' = 7) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(8 / pow(10, 8)): (k_1' = 0) & (k_2' = 7) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(8 / pow(10, 8)): (k_1' = 0) & (k_2' = 7) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(8 / pow(10, 8)): (k_1' = 0) & (k_2' = 7) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(8 / pow(10, 8)): (k_1' = 0) & (k_2' = 7) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(8 / pow(10, 8)): (k_1' = 0) & (k_2' = 7) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(8 / pow(10, 8)): (k_1' = 0) & (k_2' = 7) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1 / pow(10, 8)): (k_1' = 0) & (k_2' = 8) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(8 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 7) +
		(56 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 6) +
		(168 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 5) +
		(280 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 4) +
		(280 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 3) +
		(168 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 2) +
		(56 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 6) & (k_10' = 1) +
		(8 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 7) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 6) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 5) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 4) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 3) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 2) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 5) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 6) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 5) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 4) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 4) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 5) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 4) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 2) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 3) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 4) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 3) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 2) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 3) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 2) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 1) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 2) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 6) & (k_9' = 0) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 6) & (k_9' = 1) & (k_10' = 0) +
		(8 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 7) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 6) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 5) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 4) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 3) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 2) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 5) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 6) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 5) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 4) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 5) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 4) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 3) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 2) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 5) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 5) & (k_9' = 1) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 6) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 6) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 6) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 6) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(8 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 7) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 6) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 5) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 4) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 3) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 2) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 6) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 5) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 5) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 4) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 3) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 2) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 5) & (k_9' = 1) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 6) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 5) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 5) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 6) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 6) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 6) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 6) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 6) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(8 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 7) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 6) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 5) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 4) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 3) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 2) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 6) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 5) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 5) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 4) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 3) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 2) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 1) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 6) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 5) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 6) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 5) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 5) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 6) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 6) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 6) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 6) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 6) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 6) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(8 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 7) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 6) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 5) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 4) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 3) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 2) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 6) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 5) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 5) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 4) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 3) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 2) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 1) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 6) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 6) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 5) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 6) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(40320 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 5) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 5) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 6) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 6) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 6) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 6) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 6) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 6) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 6) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(8 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 7) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 6) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 5) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 4) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 3) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 2) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 6) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 5) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 5) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 4) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 3) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 2) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 1) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 6) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 6) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 6) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(40320 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 5) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 6) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(40320 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(40320 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(40320 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(40320 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(40320 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(40320 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 5) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 5) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 6) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 5) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 5) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 5) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 5) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 5) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 5) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 5) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 6) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 6) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 6) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 6) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 6) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 6) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 6) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(8 / pow(10, 8)): (k_1' = 1) & (k_2' = 0) & (k_3' = 7) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 6) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 5) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 4) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 3) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 2) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 6) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 5) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 5) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 4) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 3) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 2) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 1) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 6) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 6) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 6) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(40320 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 6) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(40320 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(40320 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(40320 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(40320 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(40320 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(40320 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 5) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 6) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(40320 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(40320 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(40320 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(40320 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(40320 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(40320 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(40320 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(40320 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(40320 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(40320 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(40320 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(40320 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(40320 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(40320 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(40320 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(40320 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(40320 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(40320 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(40320 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(40320 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(40320 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 4) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 4) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 5) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 5) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 1) & (k_2' = 1) & (k_3' = 6) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 1) & (k_2' = 2) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 1) & (k_2' = 3) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 1) & (k_2' = 4) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 1) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 1) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 1) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 1) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 1) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 1) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 5) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 5) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 5) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 5) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 5) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 5) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 1) & (k_2' = 5) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 5) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 5) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 5) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 5) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 5) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 5) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 1) & (k_2' = 5) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 1) & (k_2' = 5) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 1) & (k_2' = 6) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 1) & (k_2' = 6) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 1) & (k_2' = 6) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 1) & (k_2' = 6) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 1) & (k_2' = 6) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 1) & (k_2' = 6) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 1) & (k_2' = 6) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 1) & (k_2' = 6) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(8 / pow(10, 8)): (k_1' = 1) & (k_2' = 7) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(28 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 6) +
		(168 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 5) +
		(420 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 4) +
		(560 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 3) +
		(420 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 2) +
		(168 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 1) +
		(28 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 6) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 5) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 4) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 5) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 4) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 3) +
		(2520 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 1) +
		(420 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 4) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 1) +
		(560 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 3) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 1) +
		(420 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 2) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 1) & (k_10' = 0) +
		(28 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 6) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(2520 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(420 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(2520 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(560 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(420 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(28 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 6) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(2520 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(420 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(2520 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(2520 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(560 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(420 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(28 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 6) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(2520 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(420 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(2520 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(2520 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(2520 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(560 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(420 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(28 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 6) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(2520 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(420 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(2520 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(2520 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(2520 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(2520 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(560 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(420 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(28 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 6) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(2520 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(420 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(2520 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(2520 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(2520 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(2520 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(2520 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(560 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(420 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 5) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(28 / pow(10, 8)): (k_1' = 2) & (k_2' = 0) & (k_3' = 6) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(20160 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(20160 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(20160 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 2) & (k_2' = 1) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(2520 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(420 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(2520 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(2520 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(2520 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(2520 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(2520 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(10080 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(2520 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(5040 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(2520 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 2) & (k_2' = 2) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(560 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 2) & (k_2' = 3) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(420 / pow(10, 8)): (k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 2) & (k_2' = 4) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 2) & (k_2' = 4) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 2) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 2) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 2) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 2) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 2) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 2) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 2) & (k_2' = 5) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 2) & (k_2' = 5) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(28 / pow(10, 8)): (k_1' = 2) & (k_2' = 6) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		(280 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		(560 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		(560 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		(280 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		(560 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		(560 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(560 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(560 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(560 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(560 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(560 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(560 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(560 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(560 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(560 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(560 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 3) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(6720 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 3) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(560 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(3360 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 3) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(560 / pow(10, 8)): (k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1120 / pow(10, 8)): (k_1' = 3) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(560 / pow(10, 8)): (k_1' = 3) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 3) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 3) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 3) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 3) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 3) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 3) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 3) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 3) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 3) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(70 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		(280 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		(420 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		(280 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		(70 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		(420 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		(70 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(420 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(70 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(420 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(70 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(420 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(70 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(420 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(70 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(420 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(70 / pow(10, 8)): (k_1' = 4) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1680 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 4) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(420 / pow(10, 8)): (k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(840 / pow(10, 8)): (k_1' = 4) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(420 / pow(10, 8)): (k_1' = 4) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(280 / pow(10, 8)): (k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(280 / pow(10, 8)): (k_1' = 4) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(70 / pow(10, 8)): (k_1' = 4) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		(168 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		(168 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		(336 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(336 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(336 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(336 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(336 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(336 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 5) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(336 / pow(10, 8)): (k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(336 / pow(10, 8)): (k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(336 / pow(10, 8)): (k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 5) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(168 / pow(10, 8)): (k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(168 / pow(10, 8)): (k_1' = 5) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 5) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(28 / pow(10, 8)): (k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		(56 / pow(10, 8)): (k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		(28 / pow(10, 8)): (k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		(28 / pow(10, 8)): (k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(28 / pow(10, 8)): (k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(28 / pow(10, 8)): (k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(28 / pow(10, 8)): (k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(28 / pow(10, 8)): (k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(28 / pow(10, 8)): (k_1' = 6) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(56 / pow(10, 8)): (k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(56 / pow(10, 8)): (k_1' = 6) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(28 / pow(10, 8)): (k_1' = 6) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(8 / pow(10, 8)): (k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		(8 / pow(10, 8)): (k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		(8 / pow(10, 8)): (k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		(8 / pow(10, 8)): (k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(8 / pow(10, 8)): (k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(8 / pow(10, 8)): (k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(8 / pow(10, 8)): (k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(8 / pow(10, 8)): (k_1' = 7) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(8 / pow(10, 8)): (k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		(1 / pow(10, 8)): (k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);

	//------------------------------------------------------------------------------
	// update oscillator phases, no firing
	//------------------------------------------------------------------------------
	[step] (assigned & k_10 = 0 & k_1 > 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0) -> (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = k_1);
	[step] (assigned & k_10 = 0 & k_2 > 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0) -> (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = k_1) & (k_10' = k_2);
	[step] (assigned & k_10 = 0 & k_3 > 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0) -> (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = k_1) & (k_9' = k_2) & (k_10' = k_3);
	[step] (assigned & k_10 = 0 & k_4 > 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0) -> (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = k_1) & (k_8' = k_2) & (k_9' = k_3) & (k_10' = k_4);
	[step] (assigned & k_10 = 0 & k_5 > 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0) -> (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = k_1) & (k_7' = k_2) & (k_8' = k_3) & (k_9' = k_4) & (k_10' = k_5);
	[step] (assigned & k_10 = 0 & k_6 > 0 & k_7 = 0 & k_8 = 0 & k_9 = 0) -> (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = k_1) & (k_6' = k_2) & (k_7' = k_3) & (k_8' = k_4) & (k_9' = k_5) & (k_10' = k_6);
	[step] (assigned & k_10 = 0 & k_7 > 0 & k_8 = 0 & k_9 = 0) -> (k_1' = 0) & (k_2' = 0) & (k_3' = 0) & (k_4' = k_1) & (k_5' = k_2) & (k_6' = k_3) & (k_7' = k_4) & (k_8' = k_5) & (k_9' = k_6) & (k_10' = k_7);
	[step] (assigned & k_10 = 0 & k_8 > 0 & k_9 = 0) -> (k_1' = 0) & (k_2' = 0) & (k_3' = k_1) & (k_4' = k_2) & (k_5' = k_3) & (k_6' = k_4) & (k_7' = k_5) & (k_8' = k_6) & (k_9' = k_7) & (k_10' = k_8);
	[step] (assigned & k_10 = 0 & k_9 > 0) -> (k_1' = 0) & (k_2' = k_1) & (k_3' = k_2) & (k_4' = k_3) & (k_5' = k_4) & (k_6' = k_5) & (k_7' = k_6) & (k_8' = k_7) & (k_9' = k_8) & (k_10' = k_9);

	//------------------------------------------------------------------------------
	// update oscillator phases, firing
	//------------------------------------------------------------------------------
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 8) ->
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 7) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_7_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_7_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_7_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_7_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_7_2) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_7_2) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_7_3) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_7_3) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_7_4) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_7_4) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_7_5) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_7_5) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_7_6) + (pr_fail_1_1 * pr_fail_7_6)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_7_7)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 6) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_6_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_6_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_2 * pr_fail_6_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_6_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_6_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_2 * pr_fail_6_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_6_2) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_6_2) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_2 * pr_fail_6_2) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_6_3) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_6_3) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_6_3) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_6_4) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_6_4) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_6_4) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_6_5) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_6_5) + (pr_fail_2_2 * pr_fail_6_5)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_6_6)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_2 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_3 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_2 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_3 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_2 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_3_3 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_3_3 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_5_4) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_5_4) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_5_4) + (pr_fail_3_3 * pr_fail_5_4)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 4 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_3 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_4 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_3 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_4_4 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_4_3 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_4_4 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_4_3) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_4_3) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_4_3) + (pr_fail_0_0 * pr_fail_4_3 * pr_fail_4_3) + (pr_fail_4_4 * pr_fail_4_3)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 5 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_4 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_5_5 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_5_4 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_5_5 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0 * pr_fail_3_2) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1 * pr_fail_3_2) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2 * pr_fail_3_2) + (pr_fail_0_0 * pr_fail_5_3 * pr_fail_3_2) + (pr_fail_0_0 * pr_fail_5_4 * pr_fail_3_2) + (pr_fail_5_5 * pr_fail_3_2)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 6 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_4 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_6_5 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_6_6 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_1 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_2 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_3 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_6_4 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_6_5 * pr_fail_2_1) + (pr_fail_6_6 * pr_fail_2_1)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 6);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 7 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_7_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_7_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_7_2 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_7_3 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_7_4 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_7_5 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_7_6 * pr_fail_1_0) + (pr_fail_7_7 * pr_fail_1_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 7);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 7) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_7_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_7_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_7_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_7_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_7_2) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_7_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_7_3) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_7_3) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_7_4) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_7_4) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_7_5) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_7_5)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_7_6)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_7_7)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 6) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_6_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_6_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_6_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_1 * pr_fail_6_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_6_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_6_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_6_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_1 * pr_fail_6_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_6_2) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_6_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_6_2) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_1 * pr_fail_6_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_6_3) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_6_3) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_6_3) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_6_3) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_6_4) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_6_4) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_6_4) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_6_4) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_6_5) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_6_5)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_6_5)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_6_6)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_1 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_2 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_2 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_1 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_2 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_2 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_1 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_2 * pr_fail_5_2) + (pr_fail_1_1 * pr_fail_2_2 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_5_3) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_5_3) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_5_3) + (pr_fail_1_1 * pr_fail_2_2 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_5_4) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_5_4) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_5_4) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_5_4)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_5_4)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 3 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_2 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_3 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_3 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_2 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_3 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_3_3 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2 * pr_fail_4_2) + (pr_fail_1_1 * pr_fail_3_2 * pr_fail_4_2) + (pr_fail_1_0 * pr_fail_3_3 * pr_fail_4_2) + (pr_fail_1_1 * pr_fail_3_3 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_4_3) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_4_3) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_4_3) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_4_3) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_4_3) + (pr_fail_1_1 * pr_fail_3_2 * pr_fail_4_3)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_4_3)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 4 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_3 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_4 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_4_4 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_4_3 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_4_4 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_4_4 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0 * pr_fail_3_2) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0 * pr_fail_3_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1 * pr_fail_3_2) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1 * pr_fail_3_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_4_2 * pr_fail_3_2) + (pr_fail_1_0 * pr_fail_4_3 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_4_3 * pr_fail_3_2)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_3_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 5 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_4 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_5_4 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_5_5 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_5_5 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_1 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_1 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_2 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_2 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_3 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_5_3 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_5_4 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_5_4 * pr_fail_2_1)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_5 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 5);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 6 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_6_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_6_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_6_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_6_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_6_2 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_6_2 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_6_3 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_6_3 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_6_4 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_6_4 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_6_5 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_6_5 * pr_fail_1_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_6_6 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 6);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 6) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_6_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_6_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_2 * pr_fail_0_0 * pr_fail_6_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_6_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_6_1) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_0_0 * pr_fail_6_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_6_2) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_6_2) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_0_0 * pr_fail_6_2) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_6_3) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_6_3) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_6_3) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_6_4) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_6_4) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_6_4)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_6_5)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_6_6)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_2 * pr_fail_1_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_1 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_1_1 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_1_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_1 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_1_1 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_1_0 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_1 * pr_fail_5_2) + (pr_fail_2_2 * pr_fail_1_1 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_5_3) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_5_3) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_5_3) + (pr_fail_2_2 * pr_fail_1_1 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_5_4) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_5_4) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_5_4)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_5_4)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 2 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_2 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_2 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_2 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_2 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_2 * pr_fail_4_1) + (pr_fail_2_2 * pr_fail_2_2 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1 * pr_fail_4_2) + (pr_fail_2_2 * pr_fail_2_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_2 * pr_fail_4_2) + (pr_fail_2_1 * pr_fail_2_2 * pr_fail_4_2) + (pr_fail_2_2 * pr_fail_2_2 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_4_3) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_4_3) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_4_3) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_4_3) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_4_3) + (pr_fail_2_2 * pr_fail_2_1 * pr_fail_4_3)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 3 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_3 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_3 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_3_3 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2 * pr_fail_3_1) + (pr_fail_2_2 * pr_fail_3_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_3 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_3_3 * pr_fail_3_1) + (pr_fail_2_2 * pr_fail_3_3 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0 * pr_fail_3_2) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0 * pr_fail_3_2) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0 * pr_fail_3_2) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1 * pr_fail_3_2) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1 * pr_fail_3_2) + (pr_fail_2_2 * pr_fail_3_1 * pr_fail_3_2) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2 * pr_fail_3_2) + (pr_fail_2_1 * pr_fail_3_2 * pr_fail_3_2) + (pr_fail_2_2 * pr_fail_3_2 * pr_fail_3_2)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 4 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_3 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_4_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_4 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_4_4 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_4_4 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_1 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_1 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_1 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_2 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_2 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_4_2 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_3 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_4_3 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_4_3 * pr_fail_2_1)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 5 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_5_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_5_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_2 * pr_fail_5_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_5_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_5_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_5_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_5_2 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_5_2 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_5_2 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_5_3 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_5_3 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_5_3 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_5_4 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_5_4 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_5_4 * pr_fail_1_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_5 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 5);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_2 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_3_3 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_3_3 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_0_0 * pr_fail_5_2) + (pr_fail_3_3 * pr_fail_0_0 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_5_3) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_5_3) + (pr_fail_3_3 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_3_3 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_3_3 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_3_3 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_3_3 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0 * pr_fail_4_2) + (pr_fail_3_3 * pr_fail_1_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_3_2 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_3_3 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_4_3) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_4_3) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_4_3) + (pr_fail_3_3 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_3_3 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_3_3 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_3_2 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_3_3 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0 * pr_fail_3_2) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0 * pr_fail_3_2) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0 * pr_fail_3_2) + (pr_fail_3_3 * pr_fail_2_0 * pr_fail_3_2) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1 * pr_fail_3_2) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1 * pr_fail_3_2) + (pr_fail_3_2 * pr_fail_2_1 * pr_fail_3_2) + (pr_fail_3_3 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_3 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_3 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_3_3 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_3_3 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_3_3 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_1 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_1 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_1 * pr_fail_2_1) + (pr_fail_3_3 * pr_fail_3_1 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_2 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_2 * pr_fail_2_1) + (pr_fail_3_2 * pr_fail_3_2 * pr_fail_2_1) + (pr_fail_3_3 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_2 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_3 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_3 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_4_2 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_4_2 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_4_2 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_4_2 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_4_3 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_4_3 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_4_3 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 4 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_4_3 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_4_4 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_4_3 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_4_4 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_4_1 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_4_3 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_4_4 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 4 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_4_4 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_4_4 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_4_4 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_4_3 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_4_4 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_4_3 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_4_4 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 4 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_3 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_4 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_3 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_4_4 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_4_3 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_4_4 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_4_3 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_4_4 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_4_3 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_4_4 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 4 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_3 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_4 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_3 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_4_4 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_1 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_4_3 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_4_4 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 5 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_5_3 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_5_4 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_5_5 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_5_2 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_5_3 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_5_4 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_5_5 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 5 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_5_3 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_5_4 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_5_5 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_5_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_5_3 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_5_4 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_5_5 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_5_2 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_5_3 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_5_4 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_5_5 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 5 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_5_3 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_5_4 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_5_5 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_5_2 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_5_3 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_5_4 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_5_5 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 6 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_2 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_6_3 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_6_4 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_6_5 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_6_6 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 6) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 6) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 6 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_2 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_6_3 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_6_4 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_6_5 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_6_6 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 6) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 6) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 7 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 7) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 7) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 7) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_7_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_7_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_7_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_7_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_7_2) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_7_2) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_7_3) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_7_3)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_7_4)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_7_5) + (pr_fail_0_0 * pr_fail_7_6)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_7_7)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 6) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_6_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_6_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_6_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_6_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_6_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_6_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_6_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_6_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_6_2) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_6_2) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_6_2) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_6_2) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_6_3) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_6_3)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_6_3) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_6_4)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_6_4) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_6_5) + (pr_fail_1_1 * pr_fail_6_5)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_6_6)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_2 * pr_fail_5_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_2 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_5_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_5_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_2 * pr_fail_5_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_2 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_5_2) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_5_2) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_5_2) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_5_2) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_5_3) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_5_3)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_5_4)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_5_4) + (pr_fail_2_2 * pr_fail_5_4)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 3 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_2 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_2 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_3 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_3 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_2 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_2 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_4_2) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_4_2) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_4_2) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_4_2) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_4_3) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_4_3)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_4_3)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_4_3) + (pr_fail_3_3 * pr_fail_4_3)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 4 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_3 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_3 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_3_2) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_3_2)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_4 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_4_3 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_3_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_4_4 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_4_3 * pr_fail_3_2) + (pr_fail_4_4 * pr_fail_3_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 5 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_2 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_3 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_1 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_1 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_2 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_2 * pr_fail_2_1)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_5_3 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_5_5 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_5_4 * pr_fail_2_1) + (pr_fail_5_5 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 5);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 6 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_6_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_6_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_6_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_6_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_6_2 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_6_2 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_6_3 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_6_3 * pr_fail_1_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_6_4 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_6_5 * pr_fail_1_0) + (pr_fail_6_6 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 6);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 6) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_6_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_6_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_6_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_6_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_6_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_6_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_6_1) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_6_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_6_2) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_6_2) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_6_2) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_6_2) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_6_3) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_6_3)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_6_3) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_6_4)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_6_4)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_6_5)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_6_6)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_1_1 * pr_fail_5_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_1_1 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_5_1) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_5_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_5_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_1_1 * pr_fail_5_1) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_1_1 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_5_2) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_5_2) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_5_2) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_5_2) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_5_2) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_5_2) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_5_3) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_5_3)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_5_2) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_5_3) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_5_3) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_5_4)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_5_3) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_5_4)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_5_4)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 2 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_1 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_2 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_2 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_2 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_2 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_1 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_1 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_2 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_2 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_4_2) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_4_2) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_4_2) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_4_2) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_4_2) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_4_2) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_4_3) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_4_3)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_4_2) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_4_2) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_4_3) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_4_3)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_4_2) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_4_3)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 3 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_2 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_2 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_3 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_3 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_3_2) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_3_2) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_3_2)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_3 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_3_2 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_3_3 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_3_2) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_3_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_3_3 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_3_2 * pr_fail_3_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 4 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_2 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_2 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_3 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_1 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_1 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_1 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_1 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_2 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_2 * pr_fail_2_1)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_4_4 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_4_2 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_4_3 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_4_4 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_4_3 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 5 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_5_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_5_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_5_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_1 * pr_fail_5_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_5_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_5_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_5_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_5_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_5_2 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_5_2 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_5_2 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_5_2 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_5_3 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_5_3 * pr_fail_1_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_5_3 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_5_4 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_5_4 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_5_5 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 5);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_2 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_1_1 * pr_fail_2_2 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_1_1 * pr_fail_2_2 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_5_2) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_5_2) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_5_2) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_5_2) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_5_3) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_5_2) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_2 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_2_2 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_2_2 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_2_2 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_4_2) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_4_2) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_4_2) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_4_2) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_4_3) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_4_2) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_3_2) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_3_2) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_3_2) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_2_2 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_2 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_2 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_2 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_2 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_1 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_1 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_1 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_1 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_2 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_3_1 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_1 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_2 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_2 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_2 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_4_2 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_4_2 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_4_2 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_4_2 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_4_3 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_4_2 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 3 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_3_2 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_3_3 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_3_3 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_3_2 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_1_1 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_1_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 3 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_3_3 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_3_3 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_3_3 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_3_2 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_3_3 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 3 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_2 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_3_3 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_3 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_2 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_3_2 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_3_3 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_3_2 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_3_3 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 3 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_2 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_3 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_3 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_2 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_1 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 4 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_4_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_4_3 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_4_3 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_4_1 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_4_2 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_4_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_4_3 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 4 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_4_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_4_3 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_4_3 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_4_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_4_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_4_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_4_1 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_4_2 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_4_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_4_3 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_4_3 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_4_4 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 4 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_4_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_4_3 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_4_3 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_4_1 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_4_2 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_4_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_4_3 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 5 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_2 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_5_2 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_5_3 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_5_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_4 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_5_5 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 5) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 5) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 5 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_2 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_5_2 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_5_3 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_5_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_4 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_5_5 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 5) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 5) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 6 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 6) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 6) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 6) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_1) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_2) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_2) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_2)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_4) + (pr_fail_0_0 * pr_fail_6_5)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_6_6)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_1) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_1) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_1) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_2) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_2) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_2)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_4) + (pr_fail_1_1 * pr_fail_5_4)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 2 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_1) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_1) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_1) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_2) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_2) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_2)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_3) + (pr_fail_2_2 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 3 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_1) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_1) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_2) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_2) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_2)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_2) + (pr_fail_3_3 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 4 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_2 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_2 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_1)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_4_4 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_3 * pr_fail_2_1) + (pr_fail_4_4 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 5 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_5_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_5_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_0_0 * pr_fail_5_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_5_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_5_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_5_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_5_2 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_5_2 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_5_2 * pr_fail_1_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_3 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_5_4 * pr_fail_1_0) + (pr_fail_5_5 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 5);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_2_2 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_2_2 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_2) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_2) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_2) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_2_2 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_2_2 * pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_2_2 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_2) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_2) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_2) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_2) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_2) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_2) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_1 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_1_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_1 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_1 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_1 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_4_2 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_4_2 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_2 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 2 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_2_2 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_2_1 * pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_2_2 * pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_2_2 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_2_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 2 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 2 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_2 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_2_2 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_2_2 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_2_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 2 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_2_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_2 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_2 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_2_2 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_2_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 3 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_3_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_3_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_2_2 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_2_2 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 3 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_3_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_3_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_3_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_3_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_3_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_3_3 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 3 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_3_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_3_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_3_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_3_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_3_1 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_3_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 4 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_4_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_2 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_4_2 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_4_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_4_4 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 4) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 4 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_4_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_2 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_4_2 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_4_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_4_4 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 4) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 5 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 5) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 5) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_3_3 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_3_3 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_3_3 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_3_3 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_3_3 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3) + (pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2) + (pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_3_3 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_3_3 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_3_3 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1) + (pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0) + (pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 1 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_3_3 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_3_2 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_3_3 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_3_3 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 1 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_3_2 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_3_3 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 1 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_3_3 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_3_3 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_3_3 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_3_3 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 1 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 2 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_3_3 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_3_2 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_3_3 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_3_2 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_3_3 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 2 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_3_3 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_3_3 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_3_3 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_3_2 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_3_3 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 2 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 3 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_3_3 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_3_3 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 3 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 4 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 4 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_4_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_4_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_4_3 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_4_4 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 4 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_4_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_4_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_4_3 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_4_4 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 4 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_4_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_4_3 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_4_4 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 4 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_4_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_4_3 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_4_4 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 4 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_4_3 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_4_4 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 4 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_4_3 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_4_4 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 4 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_4_3 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_4_4 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 4 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_4_3 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_4_4 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 4 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_4_3 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_4_4 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 4 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 5 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 5 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 5 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 5 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 5 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 5 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 6 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 6) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 6) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 6 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 6) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 6) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 6 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 6) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 6) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 7 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 7) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 7) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 7) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_7_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_7_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_7_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_7_1)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_7_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_7_3) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_7_4)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_7_5) + (pr_fail_0_0 * pr_fail_7_6)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_7_7)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 6) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_6_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_6_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_6_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_6_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_6_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_6_1)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_6_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_6_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_6_2) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_6_3) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_6_3) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_6_4)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_6_4) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_6_5) + (pr_fail_1_1 * pr_fail_6_5)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_6_6)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 5) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_5_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_5_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_5_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_5_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_5_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_5_1)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_2 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_5_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_2 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_5_4)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_5_4) + (pr_fail_2_2 * pr_fail_5_4)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_4_1)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_2 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_4_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_3 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_2 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_3_3 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_4_3) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_4_3)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_4_3) + (pr_fail_3_3 * pr_fail_4_3)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 4 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_3_1)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_3_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_3 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_4_4 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_4_3 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_3_2) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_3_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_4 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_4_3 * pr_fail_3_2) + (pr_fail_4_4 * pr_fail_3_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 5 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0 * pr_fail_2_1)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_5_4 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_5_3 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_5 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_5_4 * pr_fail_2_1) + (pr_fail_5_5 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 6 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_1 * pr_fail_1_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_2 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_3 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_6_4 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_6_5 * pr_fail_1_0) + (pr_fail_6_6 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 6);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 6) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_6_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_6_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_6_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_6_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_6_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_6_1)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_6_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_6_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_6_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_6_3) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_6_3) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_6_4)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_6_4)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_6_5)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_6_6)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 5) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_5_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_5_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_5_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_5_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_5_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_5_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_5_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_5_1)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_1 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_5_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_1 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_5_2) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_5_3) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_5_3) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_5_3) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_5_4)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_5_3) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_5_4)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_5_4)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_4_1)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_2 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_4_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_2 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_2 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_2_2 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_4_2) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_4_2) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_4_3) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_4_3) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_4_3)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_4_2) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_4_3)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 3 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_3_1)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_3_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_3 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_3_3 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_3_2 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_3_3 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_3_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_3_2) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_3_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_3 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_3_2 * pr_fail_3_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 4 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0 * pr_fail_2_1)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_4_3 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_4_4 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_4_2 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_4_3 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_4 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_4_3 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 5 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_1 * pr_fail_1_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_2 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_2 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_3 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_5_3 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_5_4 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_5_4 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_5 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 5);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_5_1)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_5_2) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_5_3) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_4_1)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_2_2 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_4_2) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_4_3) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_3_1)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_2_2 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_3_2) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_3_2) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_3_2) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_2_2 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0 * pr_fail_2_1)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_3_1 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_1 * pr_fail_1_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_2 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_4_2 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_3 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_3_3 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 3 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_3_3 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_3_3 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_3_2 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_3_3 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 3 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_3_3 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_3_3 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_3_2 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_3_3 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 3 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 4 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_4_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_4_4 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_4_3 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 4 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_4_4 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_4_3 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_4_3 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_4_4 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 4 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_4_4 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_4_3 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 5 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_5_3 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_5_4 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_5_5 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 5) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 5 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_5_3 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_5_4 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_5_5 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 5) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 5) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 6 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 6) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 6) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 6) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_1)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_4) + (pr_fail_0_0 * pr_fail_6_5)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_6_6)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 5) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_1)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_4) + (pr_fail_1_1 * pr_fail_5_4)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_1)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_3) + (pr_fail_2_2 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 3 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_1)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_2) + (pr_fail_3_3 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 4 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_1)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_4_4 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_3 * pr_fail_2_1) + (pr_fail_4_4 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 5 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_1 * pr_fail_1_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_2 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_2 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_3 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_5_4 * pr_fail_1_0) + (pr_fail_5_5 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 5);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_1)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_2) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_1)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_2) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_1)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_2) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_1)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_1 * pr_fail_1_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_2 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 2 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 2 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 2 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 3 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 3 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_3_3 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 3 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 4 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_4_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_4_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_4_4 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 4) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 4 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_4_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_4_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_4_4 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 4) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 5 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 5) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 5) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3) + (pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2) + (pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1) + (pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0) + (pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 1 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 1 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 1 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 2 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 2 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 2 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 3 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 3 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 4 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 3 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 3 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 3 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 3 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 3 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 3 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 3 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 3 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 3 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 4 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 4 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 4 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 4 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 4 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 4 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 5 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 5) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 5 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 5) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 5) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 5 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 5) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 5) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 6 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 6) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 6) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 6) ->
		((pr_fail_2_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_2) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_4) + (pr_fail_0_0 * pr_fail_6_5)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_6_6)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 5) ->
		((pr_fail_2_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_4) + (pr_fail_1_1 * pr_fail_5_4)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 4) ->
		((pr_fail_2_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_3) + (pr_fail_2_2 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 3) ->
		((pr_fail_2_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_3 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_2) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_2) + (pr_fail_3_3 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 4 & k_10 = 2) ->
		((pr_fail_2_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_4 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_3 * pr_fail_2_1) + (pr_fail_4_4 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 5 & k_10 = 1) ->
		((pr_fail_2_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0 * pr_fail_1_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_5_3 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4 * pr_fail_1_0) + (pr_fail_5_5 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_2_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_2) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_2) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_2_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_2) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_2) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_2_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_2) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_2_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_2_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0 * pr_fail_1_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_4_2 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 2 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 2 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_3_3 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 3 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_3_3 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_3_3 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 3 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 4 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_4_2 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_4_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 4 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_4_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 5 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 5) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_2_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_2_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3) + (pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_2_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2) + (pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_2_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1) + (pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_2_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0) + (pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 1 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 1 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 2 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 2 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 3 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 3 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 4 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_2_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_2_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_2_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 2 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_2_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 2 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_2_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 2 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 2 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 2 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 2 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 8) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 2 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 3 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 3 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 3 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 3 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 3 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 4 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 4 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 4 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 4) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 5 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 5) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3) + (pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2) + (pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1) + (pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0) + (pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 1 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 2 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 3 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 4 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 1 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 1 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 1 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 1 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 2 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 2 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 2 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 3 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 3 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 4 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 4 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 4 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 4 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 4 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 4 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 4 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 4 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 4 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 4 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 4 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 4 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 4 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 4 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 4 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 4 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 4 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 4 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 4 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 4 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 4 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 5 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 5 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 5 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 5 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 5 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 5 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 5 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 5 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 5 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 5 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 6 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 6) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 6) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 6 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 6) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 6) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 6 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 6) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 6) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 6 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 6) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 6) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 7 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 7) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 7) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 7) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_7_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_7_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_7_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_7_3) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_7_4)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_7_5) + (pr_fail_0_0 * pr_fail_7_6)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_7_7)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 6) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_6_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_6_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_6_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_6_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_6_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_6_2) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_6_3) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_6_3) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_6_4)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_6_4) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_6_5) + (pr_fail_1_1 * pr_fail_6_5)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_6_6)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_5_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_2 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_5_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_2 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_5_4)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_5_4) + (pr_fail_2_2 * pr_fail_5_4)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_4_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_2 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_4_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_3 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_2 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_3_3 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_4_3) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_4_3)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_4_3) + (pr_fail_3_3 * pr_fail_4_3)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 4 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_3_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_3 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_4_4 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_4_3 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_3_2) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_3_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_4 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_4_3 * pr_fail_3_2) + (pr_fail_4_4 * pr_fail_3_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 5 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_5_4 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_5_3 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_5 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_5_4 * pr_fail_2_1) + (pr_fail_5_5 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 6 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_2 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_3 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_6_4 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_6_5 * pr_fail_1_0) + (pr_fail_6_6 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 6);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 6) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_6_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_6_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_6_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_6_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_6_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_6_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_6_3) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_6_3) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_6_4)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_6_4)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_6_5)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_6_6)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_5_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_1 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_5_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_1 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_5_2) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_5_3) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_5_3) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_5_3) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_5_4)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_5_3) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_5_4)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_5_4)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_4_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_2 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_4_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_2 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_2 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_2_2 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_4_2) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_4_2) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_4_3) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_4_3) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_4_3)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_4_2) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_4_3)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 3 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_3_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_3 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_3_3 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_3_2 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_3_3 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_3_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_3_2) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_3_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_3 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_3_2 * pr_fail_3_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 4 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_4_3 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_4_4 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_4_2 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_4_3 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_4 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_4_3 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 5 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_2 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_2 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_3 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_5_3 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_5_4 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_5_4 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_5 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 5);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_5_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_5_2) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_5_3) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_4_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_2_2 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_4_2) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_4_3) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_2_2 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_3_2) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_3_2) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_3_2) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_2_2 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_3_1 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_2 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_4_2 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_3 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_3_3 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_3_3 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_3_3 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_3_2 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_3_3 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_3_3 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_3_3 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_3_2 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_3_3 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 4 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_4_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_4_4 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_4_3 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 4 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_4_4 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_4_3 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_4_3 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_4_4 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 4 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_4_4 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_4_3 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 5 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_5_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_3 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_5_4 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_5 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 5 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_5_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_3 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_5_4 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_5 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 6 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 6) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 6) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 6) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_4) + (pr_fail_0_0 * pr_fail_6_5)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_6_6)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_4) + (pr_fail_1_1 * pr_fail_5_4)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_3) + (pr_fail_2_2 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 3 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_2) + (pr_fail_3_3 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 4 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_4_4 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_3 * pr_fail_2_1) + (pr_fail_4_4 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 5 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_2 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_2 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_3 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_5_4 * pr_fail_1_0) + (pr_fail_5_5 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 5);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_2) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_2) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_2) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_2 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 3 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 3 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_3_3 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 3 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 4 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_4_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_4_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 4 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_4_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_4_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 5 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 5) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 5) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3) + (pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2) + (pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1) + (pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0) + (pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 2 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 2 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 2 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 3 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 3 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 4 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 3 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 3 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 3 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 3 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 3 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 3 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 4 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 4 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 4 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 4 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 4 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 4 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 5 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 5 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 5 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 5) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 5) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 6 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 6) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 6) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 6) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_2) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_4) + (pr_fail_0_0 * pr_fail_6_5)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_6_6)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 5) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_4) + (pr_fail_1_1 * pr_fail_5_4)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_3) + (pr_fail_2_2 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_3 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_2) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_2) + (pr_fail_3_3 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 4 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_4 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_3 * pr_fail_2_1) + (pr_fail_4_4 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 5 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_5_3 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4 * pr_fail_1_0) + (pr_fail_5_5 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_2) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_2) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_2) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_2) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_2) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_4_2 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_3_3 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 3 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_3_3 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_3_3 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 3 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 4 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_4_2 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_4_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 4 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_4_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 5 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 5) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3) + (pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2) + (pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1) + (pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0) + (pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 2 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 2 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 3 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 3 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 4 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 2 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 2 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 2 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 2 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 2 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 3 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 3 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 3 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 3 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 3 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 4 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 4 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 4 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 4) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 5 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 5) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3) + (pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2) + (pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1) + (pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0) + (pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 2 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 3 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 4 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 1 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 1 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 1 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 2 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 2 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 2 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 3 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 3 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 4 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 3 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 3 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 3 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 3 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 3 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 3 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 3 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 3 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 3 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 3 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 3 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 3 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 3 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 3 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 3 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 3 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 4 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 4 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 4 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 4 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 4 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 4 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 4 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 4 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 4 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 4 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 5 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 5 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 5 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 5) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 5) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 5 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 5) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 5) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 6 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 6) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 6) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 6) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_2) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_4) + (pr_fail_0_0 * pr_fail_6_5)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_6_6)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_4) + (pr_fail_1_1 * pr_fail_5_4)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_3) + (pr_fail_2_2 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_3 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_2) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_2) + (pr_fail_3_3 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 4 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_4 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_3 * pr_fail_2_1) + (pr_fail_4_4 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 5 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_5_3 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4 * pr_fail_1_0) + (pr_fail_5_5 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_2) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_2) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_2) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_2) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_2) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_4_2 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_3_3 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_3_3 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_3_3 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 4 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_2 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_4_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 4 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_4_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 5 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3) + (pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2) + (pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1) + (pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0) + (pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 3 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 3 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 4 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 2 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 2 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 2 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 3 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 3 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 3 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 4 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 4 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 4 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 5 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3) + (pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2) + (pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1) + (pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0) + (pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 3 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 4 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 1 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 1 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 2 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 2 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 3 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 3 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 4 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 2 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 2 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 2 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 2 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 2 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 2 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 2 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 2 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 2 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 2 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 3 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 3 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 3 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 3 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 3 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 3 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 3 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 4 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 4 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 4 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 4 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 5 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3) + (pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2) + (pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1) + (pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0) + (pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 4 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 1 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 2 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 3 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 4 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 1 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 1 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 1 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 1 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 2 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 2 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 2 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 3 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 3 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 4 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 4 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 4 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 4 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 4 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 4 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 4 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 4 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 4 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 4 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 4 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 4 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 4 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 4 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 4 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 4 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 4 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 4 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 4 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 4 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 4 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 4 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 4 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 4 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 4 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 4 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 4 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 4 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 4 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 4 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 4 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 4 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 4 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 4 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 4 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 4 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 5 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 5 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 5 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 5 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 5 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 5 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 5 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 5 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 5 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 5 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 5 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 5 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 5 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 5 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 5 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 6 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 6) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 6) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 6 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 6) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 6) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 6 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 6) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 6) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 6 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 6) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 6) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 6 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 6) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 6) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 7 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 7) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 7) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 7) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_7_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_7_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_7_2) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_7_3)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_7_4) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_7_5)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_7_6) + (pr_fail_7_7)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 6) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_6_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_6_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_6_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_6_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_6_2) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_6_2) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_6_3)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_6_3) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_6_4) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_6_4) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_6_5)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_6_5)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_6_6)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_5_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_2 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_2 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_5_3)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_5_4) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_5_4)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_5_4)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_4_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_2 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_3 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_2 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_4_3)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_3_3 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_4_3) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_4_3)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_4_3)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 4 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_3 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_3_2) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_3_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_4 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_4_3 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_4_4 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_3_2) + (pr_fail_0_0 * pr_fail_4_3 * pr_fail_3_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_3_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 5 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_5_5 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_5_3 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_5_4 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_5 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 6 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_2 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_3 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_6_4 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_6_5 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_6_6 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 6);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 6) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_6_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_6_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_6_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_6_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_6_2) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_6_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_6_3)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_6_3) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_6_4) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_6_4)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_6_5)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_6_6)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_5_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_1 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_1 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_5_3)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_5_2) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_5_3) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_5_3) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_5_3) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_5_4) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_5_4)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_5_4)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_4_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_2 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_2 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_2 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_4_3)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_4_2) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_4_2) + (pr_fail_1_1 * pr_fail_2_2 * pr_fail_4_2) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_4_3) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_4_3) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_4_3)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 3 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_3 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_3_2) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_3_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_3_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_3 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_3_2 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_3_3 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_3_3 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_3_2) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_3_2 * pr_fail_3_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 4 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_4_4 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_4_4 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_4_2 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_4_3 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_4_3 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 5 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_2 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_2 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_3 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_5_3 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_5_4 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_5_4 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_5 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 5);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_5_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_5_2) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_5_3) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_4_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_4_2) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_2_2 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_4_3) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_3_2) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_3_2) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_2_2 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_3_2) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_3_2) + (pr_fail_2_2 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_3_1 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_3_2 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_2 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_2 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_4_2 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_4_3 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_3_3 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_3_3 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_3 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_3_3 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_3_2 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_3_3 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_3_3 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_3_3 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_3_3 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_3_2 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_3_3 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_3 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 4 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_4_3 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_4_1 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_4_3 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_4_4 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 4 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_4_3 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_4_4 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_4_3 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_4_4 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 4 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_3 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_4_3 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_4_4 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 5 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_5_2 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_5_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_4 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_5_5 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 5 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_5_2 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_5_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_4 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_5_5 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 6 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 6) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 6) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 6) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_2) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_4)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_6_5)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_6_6)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_2) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_4)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_5_4)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_2) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 3 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 4 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_4_4 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_3 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 5 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_2 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_2 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_3 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_5_4 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_5_5 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 5);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_2) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_2) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_2) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_2) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_2) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_2 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_2 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_2 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 3 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_3_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 3 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_3_3 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 3 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 4 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_4_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_4_2 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_4_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 4 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_4_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_4_2 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_4_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 5 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 5) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 5) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_2_2 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 2 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 2 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 2 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 3 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 3 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 4 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_3_3 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_3_3 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_3_3 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_3_3 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 4 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 4 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 4 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 4 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 4 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 4 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 5 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 5 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 5 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 6 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 6) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 6) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 6) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_4)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_6_5)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_6_6)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 5) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_4)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_5_4)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 4 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_4 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_3 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 5 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_3 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_5 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_2) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_2) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_2) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_2 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 3 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_3_3 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 3 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 4 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_4_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 4 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 5 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 5) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 2 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 2 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 3 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 3 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 4 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 3 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 3 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 3 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 3 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 3 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 4 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 4 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 4 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 5 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 5) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 2 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 3 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 4 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 2 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 2 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 2 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 3 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 3 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 4 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 3 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 3 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 3 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 3 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 3 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 3 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 3 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 3 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 3 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 3 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 4 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 4 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 4 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 4 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 4 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 4 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 4 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 4 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 4 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 4 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 5 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 5 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 5 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 5 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 5) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 6 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 6) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 6) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 6) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_4)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_6_5)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_6_6)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_4)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_5_4)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 4 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_4 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_3 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 5 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_3 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_5 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_2) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_2) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_2) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_2 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_3_3 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 4 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 4 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 5 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 3 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 3 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 4 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 3 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 3 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 3 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 4 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 4 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 4 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 5 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 3 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 4 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 2 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 2 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 3 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 3 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 4 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 2 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 2 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 2 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 2 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 2 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 2 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 2 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 3 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 3 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 3 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 3 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 3 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 3 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 3 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 4 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 4 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 4 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 4 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 5 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 4 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 2 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 3 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 4 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 1 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 1 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 1 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 2 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 2 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 2 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 3 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 3 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 4 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 3 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 3 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 3 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 3 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 3 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 3 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 3 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 3 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 3 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 3 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 3 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 3 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 3 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 3 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 3 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 3 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 3 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 3 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 3 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 3 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 3 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 3 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 3 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 3 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 3 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 4 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 4 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 4 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 4 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 4 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 4 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 4 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 4 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 4 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 4 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 4 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 4 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 4 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 4 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 4 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 5 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 5 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 5 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 5 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 5) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 5 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 5) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 5) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 6 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 6) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 6) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 6) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_3) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_4)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_6_5) + (pr_fail_6_6)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_4)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_5_4)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_3) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_3 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_2) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 4 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_4 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_4_3 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 5 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_3 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_5_4 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_5 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_2) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_3) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_2) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_3) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_2) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_2 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_4_3 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_2_2 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_3_3 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_3_3 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_3_3 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 4 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_3 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_4_4 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 4 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_3 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_4_4 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 5 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 3 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 3 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 4 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 4 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 4 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 4 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 5 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 3 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 4 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 3 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 3 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 4 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 2 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 2 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 2 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 2 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 3 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 3 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 3 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 3 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 4 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 4 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 4 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 4 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 5 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 4 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 3 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 4 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 1 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 1 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 2 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 2 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 3 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 3 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 4 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 2 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 2 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 2 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 2 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 2 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 2 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 2 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 2 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 2 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 2 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 2 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 2 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 2 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 3 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 3 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 3 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 3 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 3 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 3 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 3 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 3 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 3 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 4 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 4 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 4 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 4 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 4 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 5 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4) + (pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 4 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 4 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 1 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 2 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 3 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 4 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 1 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 1 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 1 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 1 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 2 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 2 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 2 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 3 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 3 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 4 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 4 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3) + (pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 4 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 4 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 4 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 4 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 4 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 4 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 4 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 4 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 4 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 4 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 4 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 4 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 4 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 4 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 4 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 4 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 4 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 4 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 4 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 4 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 4 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 4 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 4 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 4 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 4 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 4 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 4 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 4 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 4 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 4 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 4 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 4 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 4 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 4 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 4 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 4 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 4 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 4 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 4 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 4 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 4 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 4 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 4 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 4 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 4 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 4 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 4 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 4 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 4 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 4 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 4 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 4 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 4 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 4 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 4 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 5 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2) + (pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 5 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 5 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 5 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 5 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 5 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 5 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 5 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 5 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 5 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 5 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 5 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 5 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 5 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 5 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 5 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 5 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 5 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 5 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 5 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 5 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 6 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 6) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1) + (pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 6) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 6 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 6) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 6) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 6) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 6 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 6) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 6) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 6 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 6) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 6) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 6 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 6) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 6) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 6 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 6) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 6) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 0 & k_4 = 7 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 7) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 7) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_7_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_7_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_7_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_7_3) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_7_4) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_7_5)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_7_6) + (pr_fail_7_7)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 6) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_6_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_6_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_6_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_6_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_6_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_6_2) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_6_3) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_6_3) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_6_4) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_6_4) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_6_5)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_6_5)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_6_6)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_2 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_5_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_2 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_5_4) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_5_4)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_5_4)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_2 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_4_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_3 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_2 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_3_3 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_3_3 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_4_3) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_4_3) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_4_3)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_4_3)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 4 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_3_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_3 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_4_4 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_4_3 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_4_4 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_3_2) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_3_2) + (pr_fail_0_0 * pr_fail_4_3 * pr_fail_3_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_3_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 5 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_5_4 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_5_5 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_5_3 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_5_4 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_5 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 6 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_2 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_3 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_6_4 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_6_5 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_6_6 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 6);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 6) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_6_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_6_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_6_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_6_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_6_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_6_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_6_3) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_6_3) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_6_4) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_6_4)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_6_5)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_6_6)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_1 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_5_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_1 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_5_2) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_5_3) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_5_3) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_5_3) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_5_3) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_5_4) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_5_4)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_5_4)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_2 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_4_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_2 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_2 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_2_2 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_4_2) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_4_2) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_4_2) + (pr_fail_1_1 * pr_fail_2_2 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_4_3) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_4_3) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_4_3) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_4_3)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 3 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_3_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_3 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_3_3 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_3_2 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_3_3 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_3_3 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_3_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_3_2) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_3_2 * pr_fail_3_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 4 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_4_3 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_4_4 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_4_4 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_4_2 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_4_3 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_4_3 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 5 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_2 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_2 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_3 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_5_3 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_5_4 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_5_4 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_5 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 5);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_5_2) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_5_3) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_5_3) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_2_2 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_4_2) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_2_2 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_4_3) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_4_3) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_2_2 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_2_2 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_3_2) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_3_2) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_3_2) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_3_2) + (pr_fail_2_2 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_3_1 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_3_2 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_2 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_4_2 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_3 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_4_3 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_3_3 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_3_3 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_3_3 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_3_3 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_3_2 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_3_3 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_3_3 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_3_3 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_3_3 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_3_3 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_3_2 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_3_3 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 4 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_4_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_4_4 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_4_3 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_4_4 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 4 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_4_4 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_4_3 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_4_4 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_4_3 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_4_4 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 4 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_4_4 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_4_3 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_4_4 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 5 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_5_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_3 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_5_4 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_5_5 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 5 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_5_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_3 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_5_4 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_5_5 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 6 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 6) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 6) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 6) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_4)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_6_5)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_6_6)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_4)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_5_4)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 3 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 4 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_4_4 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_3 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 5 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_2 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_2 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_3 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_5_4 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_5_5 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 5);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_2) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_2) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_2) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_2 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 3 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 3 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_3_3 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 3 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 4 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_4_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_4_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 4 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_4_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_4_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 5 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 5) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 5) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 2 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 2 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 2 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 3 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 3 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 4 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 4 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 4 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 4 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 4 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 4 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 4 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 5 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 5 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 5 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 6 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 6) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 6) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 6) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_2) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_4)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_6_5)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_6_6)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 5) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_4)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_5_4)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_3 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_2) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 4 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_4 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_3 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 5 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_5_3 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_5 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_2) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_2) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_2) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_2) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_2) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_4_2 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_3_3 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 3 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_3_3 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_3_3 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 3 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 4 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_4_2 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_4_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 4 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_4_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 5 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 5) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 2 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 2 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 3 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 3 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 4 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 3 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 3 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 3 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 3 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 3 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 4 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 4 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 4 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 5 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 5) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 2 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 3 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 4 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 2 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 2 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 2 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 3 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 3 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 4 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 4 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 4 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 4 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 4 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 4 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 4 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 4 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 4 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 4 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 4 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 5 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 5 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 5 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 5 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 6 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 6) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 6) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 6) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_2) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_4)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_6_5)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_6_6)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_4)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_5_4)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_3 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_2) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 4 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_4 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_3 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 5 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_5_3 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_5 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_2) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_2) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_2) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_2) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_2) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_4_2 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_3_3 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_3_3 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_3_3 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 4 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_2 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_4_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 4 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_4_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 5 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 3 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 3 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 4 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 3 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 3 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 3 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 4 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 4 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 4 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 5 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 3 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 4 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 2 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 2 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 3 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 3 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 4 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 3 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 3 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 3 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 3 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 3 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 3 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 3 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 4 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 4 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 4 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 4 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 5 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 4 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 2 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 3 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 4 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 2 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 2 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 2 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 3 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 3 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 4 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 3 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 3 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 3 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 3 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 3 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 3 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 3 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 3 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 3 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 3 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 3 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 3 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 3 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 3 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 3 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 4 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 4 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 4 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 4 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 4 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 4 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 4 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 4 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 4 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 4 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 4 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 4 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 4 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 4 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 4 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 5 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 5 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 5 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 5 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 5 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 5) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 6 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 6) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 6) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 6) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_3) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_4)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_6_5) + (pr_fail_6_6)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_4)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_5_4)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_3) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_3 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_2) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 4 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_4 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_4_3 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 5 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_3 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_5_4 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_5 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_2) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_3) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_2) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_3) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_2) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_2 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_4_3 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_2_2 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_3_3 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_3_3 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_3_3 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 4 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_3 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_4_4 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 4 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_3 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_4_4 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 5 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 3 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 3 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 4 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 4 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 4 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 4 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 5 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 3 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 4 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 3 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 3 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 4 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 3 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 3 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 3 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 3 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 4 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 4 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 4 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 4 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 5 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 4 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 3 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 4 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 2 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 2 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 3 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 3 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 4 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 2 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 2 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 2 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 2 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 2 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 2 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 2 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 2 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 2 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 3 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 3 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 3 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 3 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 3 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 3 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 3 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 3 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 3 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 4 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 4 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 4 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 4 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 4 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 5 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4) + (pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 4 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 4 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 2 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 3 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 4 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 1 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 1 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 1 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 2 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 2 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 2 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 3 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 3 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 4 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3) + (pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 3 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 3 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 3 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 3 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 3 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 3 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 3 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 3 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 3 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 3 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 3 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 3 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 3 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 3 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 3 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 3 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 3 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 3 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 3 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 3 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 3 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 3 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 3 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 3 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 3 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 3 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 3 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 3 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 3 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 3 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 3 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 3 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 3 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 3 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 3 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 3 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 4 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2) + (pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 4 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 4 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 4 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 4 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 4 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 4 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 4 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 4 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 4 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 4 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 4 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 4 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 4 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 4 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 4 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 4 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 4 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 4 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 4 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 4 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 5 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1) + (pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 5 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 5 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 5 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 5 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 5) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 5 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 5) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 5) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 1 & k_4 = 6 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 6) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 6) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_2) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_3) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_4)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_6_5) + (pr_fail_6_6)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_4)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_5_4)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_3) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_3 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_3 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_2) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_2) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 4 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_4 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_4_3 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 5 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_5_3 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_5_4 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_5 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_2) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_2) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_3) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_2) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_2) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_3) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_2) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_4_2 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_4_3 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_2_2 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_3_3 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_3_3 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_3_3 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_3_3 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_3_3 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 4 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_2 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_4_3 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_4_4 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 4 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_4_3 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_4_4 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 5 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 3 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 3 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 4 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 4 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 4 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 4 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 5 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 3 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 4 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 3 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 3 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 4 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 4 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 4 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 4 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 4 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 5 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 4 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 3 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 4 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 3 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 3 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 4 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 2 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 2 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 2 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 2 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 2 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 3 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 3 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 3 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 3 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 3 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 4 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 4 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 4 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 4 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 4 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 5 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4) + (pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 4 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 4 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 3 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 4 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 1 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 1 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 2 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 2 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 3 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 3 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 4 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3) + (pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 2 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 2 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 2 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 2 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 2 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 2 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 2 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 2 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 2 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 2 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 2 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 2 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 2 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 2 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 2 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 2 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2) + (pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 3 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 3 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 3 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 3 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 3 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 3 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 3 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 3 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 3 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 3 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 3 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 4 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1) + (pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 4 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 4 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 4 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 4 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 4 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 2 & k_4 = 5 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4) + (pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 4 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 4 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 4 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 1 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 2 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 3 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 4 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3) + (pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 1 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 1 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 1 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 1 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2) + (pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 2 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 2 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 2 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1) + (pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 3 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 3 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 3 & k_4 = 4 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 4 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3) + (pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 4 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 4 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 4 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 4 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 4 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 4 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 4 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 4 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 4 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 4 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 4 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 4 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 4 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 4 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 4 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 4 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 4 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 4 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 4 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 4 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 4 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 4 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 4 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 4 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 4 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 4 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 4 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 4 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 4 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 4 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 4 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 4 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 4 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 4 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 4 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 4 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 4 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 4 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 4 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 4 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 4 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 4 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 4 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 4 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 4 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 4 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 4 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 4 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 4 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 4 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 4 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 4 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 4 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 4 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 4 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 4 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2) + (pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 4 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 4 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 4 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 4 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 4 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 4 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 4 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 4 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 4 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 4 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 4 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 4 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 4 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 4 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 4 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 4 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 4 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 4 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 4 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 4 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 4 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1) + (pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 4 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 4 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 4 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 4 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 4 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 4 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 5 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2) + (pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 5 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 5 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 5 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 5 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 5 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 5 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 5 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 5 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 5 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 5 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 5 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 5 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 5 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 5 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 5 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 5 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 5 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 5 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 5 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 5 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 5 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1) + (pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 5 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 5 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 5 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 5 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 5 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 5 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 6 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 6) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1) + (pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 6) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 6 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 0) & (k_5' = 6) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 0) & (k_4' = 6) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 6) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 6 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 6) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 6) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 6 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 6) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 6) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 6 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 6) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 6) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 6 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 6) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 6) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 6 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 6) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 0 & k_3 = 7 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 0) & (k_3' = 0) & (k_4' = 7) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 7) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_7_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_7_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_7_2) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_7_3) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_7_4)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_7_5) + (pr_fail_0_0 * pr_fail_7_6) + (pr_fail_7_7)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 6) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_6_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_6_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_6_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_6_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_6_2) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_6_2) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_6_3) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_6_3) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_6_4)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_6_4) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_6_5) + (pr_fail_1_1 * pr_fail_6_5)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_6_6)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_2 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_2 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_5_4)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_5_4) + (pr_fail_2_2 * pr_fail_5_4)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_2 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_3 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_2 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_3_3 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_4_3) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_4_3)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_4_3) + (pr_fail_3_3 * pr_fail_4_3)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 4 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_3 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_4_4 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_4_3 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_3_2) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_3_2) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_3_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_4 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_4_3 * pr_fail_3_2) + (pr_fail_4_4 * pr_fail_3_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 5 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_5_4 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_5_3 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_5 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_5_4 * pr_fail_2_1) + (pr_fail_5_5 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 6 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_2 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_3 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_6_4 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_6_5 * pr_fail_1_0) + (pr_fail_6_6 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 6);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 6) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_6_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_6_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_6_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_6_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_6_2) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_6_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_6_3) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_6_3) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_6_4)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_6_4)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_6_5)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_6_6)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_1 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_1 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_5_2) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_5_3) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_5_3) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_5_3) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_5_4)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_5_3) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_5_4)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_5_4)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_2 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_2 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_2 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_2_2 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_4_2) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_4_2) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_4_3) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_4_3) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_4_3)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_4_2) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_4_3)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 3 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_3 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_3_3 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_3_2 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_3_3 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_3_2) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_3_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_3_2) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_3_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_3 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_3_2 * pr_fail_3_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 4 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_4_3 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_4_4 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_4_2 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_4_3 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_4 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_4_3 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 5 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_2 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_2 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_3 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_5_3 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_5_4 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_5_4 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_5 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 5);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_5_2) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_5_3) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_2_2 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_4_2) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_4_3) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_2_2 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_3_2) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_3_2) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_3_2) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_3_2) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_2_2 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_3_1 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_2 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_2 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_4_2 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_3 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_3_3 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_3_3 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_3 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_3_3 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_3_3 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_3_2 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_3_3 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_3_3 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_3_3 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_3_2 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_3_3 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_3 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 4 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_4_3 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_4_4 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_4_1 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_4_3 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 4 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_4_4 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_4_3 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_4_3 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_4_4 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 4 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_3 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_4_4 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_4_3 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 5 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_5_2 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_5_3 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_5_4 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_5 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 5 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_5_2 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_5_3 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_5_4 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_5 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 6 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 6) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 6) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 6) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_2) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_4) + (pr_fail_0_0 * pr_fail_6_5)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_6_6)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_2) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_4) + (pr_fail_1_1 * pr_fail_5_4)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_2) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_3) + (pr_fail_2_2 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 3 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_2) + (pr_fail_3_3 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 4 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_4_4 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_3 * pr_fail_2_1) + (pr_fail_4_4 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 5 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_2 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_2 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_3 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_5_4 * pr_fail_1_0) + (pr_fail_5_5 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 5);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_2) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_2) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_2) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_2) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_2) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_2 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_2 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_2 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 3 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_3_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 3 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_3_3 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 3 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 4 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_4_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_4_2 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_4_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 4 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_4_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_4_2 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_4_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 5 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 5) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 5) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3) + (pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2) + (pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1) + (pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0) + (pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_2_2 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 2 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 2 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 2 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 3 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 3 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 4 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_3_3 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_3_3 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_3_3 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_3_3 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 4 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 4 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 4 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 4 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 4 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 4 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 5 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 5 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 5 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 6 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 6) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 6) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 6) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_2) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_4) + (pr_fail_0_0 * pr_fail_6_5)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_6_6)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 5) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_4) + (pr_fail_1_1 * pr_fail_5_4)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_3) + (pr_fail_2_2 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_3 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_2) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_2) + (pr_fail_3_3 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 4 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_4 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_3 * pr_fail_2_1) + (pr_fail_4_4 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 5 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_5_3 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4 * pr_fail_1_0) + (pr_fail_5_5 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_2) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_2) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_2) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_2) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_2) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_4_2 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_3_3 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 3 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_3_3 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_3_3 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 3 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 4 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_4_2 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_4_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 4 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_4_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 5 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 5) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3) + (pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2) + (pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1) + (pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0) + (pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 2 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 2 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 3 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 3 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 4 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 3 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 3 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 3 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 3 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 3 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 4 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 4 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 4 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 5 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 5) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3) + (pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2) + (pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1) + (pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0) + (pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 2 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 3 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 4 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 2 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 2 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 2 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 3 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 3 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 4 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 4 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 4 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 4 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 4 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 4 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 4 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 4 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 4 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 4 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 4 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 5 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 5 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 5 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 5 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 6 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 6) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 6) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 6) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_2) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_4) + (pr_fail_0_0 * pr_fail_6_5)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_6_6)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_4) + (pr_fail_1_1 * pr_fail_5_4)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_3) + (pr_fail_2_2 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_3 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_2) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_2) + (pr_fail_3_3 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 4 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_4 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_3 * pr_fail_2_1) + (pr_fail_4_4 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 5 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_5_3 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4 * pr_fail_1_0) + (pr_fail_5_5 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_2) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_2) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_2) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_2) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_2) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_4_2 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_3_3 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_3_3 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_3_3 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 4 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_2 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_4_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 4 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_4_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 5 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3) + (pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2) + (pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1) + (pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0) + (pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 3 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 3 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 4 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 3 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 3 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 3 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 4 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 4 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 4 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 5 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3) + (pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2) + (pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1) + (pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0) + (pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 3 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 4 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 2 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 2 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 3 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 3 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 4 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 3 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 3 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 3 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 3 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 3 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 3 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 3 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 4 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 4 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 4 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 4 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 5 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3) + (pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2) + (pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1) + (pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0) + (pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 4 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 2 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 3 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 4 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 2 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 2 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 2 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 3 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 3 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 4 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 4 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 4 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 4 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 4 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 4 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 4 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 4 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 4 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 4 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 4 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 4 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 4 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 4 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 4 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 4 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 5 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 5 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 5 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 5 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 5 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 6 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 6) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 6) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 6) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_4)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_6_5) + (pr_fail_6_6)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_4)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_5_4)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 4 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_4 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_3 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 5 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_3 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_5 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_2) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_2) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_2) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_2 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_3_3 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 4 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 4 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 5 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 3 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 3 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 4 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 4 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 4 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 4 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 5 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 3 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 4 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 3 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 3 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 4 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 3 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 3 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 3 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 3 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 4 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 4 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 4 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 4 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 5 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 4 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 3 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 4 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 2 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 2 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 3 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 3 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 4 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 3 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 3 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 3 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 3 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 3 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 3 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 3 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 3 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 3 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 4 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 4 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 4 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 4 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 4 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 5 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4) + (pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 4 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 4 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 2 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 3 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 4 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 2 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 2 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 2 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 3 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 3 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 4 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3) + (pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 3 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 3 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 3 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 3 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 3 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 3 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 3 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 3 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 3 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 3 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 3 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 3 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 3 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 3 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 3 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 3 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 3 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 3 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 3 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 3 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 3 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 4 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2) + (pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 4 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 4 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 4 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 4 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 4 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 4 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 4 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 4 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 4 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 4 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 4 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 4 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 4 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 4 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 4 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 4 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 4 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 4 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 4 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 4 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 5 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1) + (pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 5 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 5 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 5 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 5 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 5 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 5) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 0 & k_4 = 6 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 6) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 6) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_2) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_4)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_6_5) + (pr_fail_6_6)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_4)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_5_4)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_3 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_2) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 4 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_4 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_3 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 5 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_5_3 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_5 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_2) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_2) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_2) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_2) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_2) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_4_2 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_3_3 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_3_3 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_3_3 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 4 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_2 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_4_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 4 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_4_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 5 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 3 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 3 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 4 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 4 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 4 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 4 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 5 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 3 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 4 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 3 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 3 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 4 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 4 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 4 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 4 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 4 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 5 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 4 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 3 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 4 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 3 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 3 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 4 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 3 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 3 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 3 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 3 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 3 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 4 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 4 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 4 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 4 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 4 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 5 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4) + (pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 4 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 4 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 3 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 4 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 2 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 2 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 3 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 3 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 4 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3) + (pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 2 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 2 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 2 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 2 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 2 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 2 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 2 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 2 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 2 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 2 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 2 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2) + (pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 3 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 3 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 3 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 3 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 3 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 3 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 3 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 3 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 3 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 3 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 3 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 4 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1) + (pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 4 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 4 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 4 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 4 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 4 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 1 & k_4 = 5 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 1) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4) + (pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 4 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 4 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 4 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 2 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 3 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 4 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3) + (pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 1 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 1 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 1 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2) + (pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 2 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 2 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 2 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1) + (pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 3 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 3 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 2 & k_4 = 4 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 2) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3) + (pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 3 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 3 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 3 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 3 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 3 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 3 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 3 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 3 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 3 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 3 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 3 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 3 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 3 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 3 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 3 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 3 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 3 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 3 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 3 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 3 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 3 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 3 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2) + (pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 3 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 3 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 3 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 3 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 3 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 3 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 3 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 3 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 3 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 3 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 3 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 3 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 3 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 3 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 3 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 3 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 3 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 3 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 3 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 3 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 3 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1) + (pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 3 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 3 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 3 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 3 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 3 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 3 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 3) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 4 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2) + (pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 4 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 4 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 4 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 4 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 4 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 4 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 4 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 4 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 4 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 4 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 4 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 4 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 4 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 4 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 4 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 4 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 4 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 4 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 4 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 4 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 4 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1) + (pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 4 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 4 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 4 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 4 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 4 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 4 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 4) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 5 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1) + (pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 5 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 1) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 5 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 5 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 5 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 5 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 5) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 5 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 5) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 1 & k_3 = 6 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 0) & (k_3' = 1) & (k_4' = 6) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 6) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_2) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_4) + (pr_fail_0_0 * pr_fail_6_5) + (pr_fail_6_6)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_4) + (pr_fail_1_1 * pr_fail_5_4)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_3) + (pr_fail_2_2 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_3 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_2) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_2) + (pr_fail_3_3 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 4 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_4 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_3 * pr_fail_2_1) + (pr_fail_4_4 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 5 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_5_3 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4 * pr_fail_1_0) + (pr_fail_5_5 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_2) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_2) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_2) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_2) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_2) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_4_2 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_3_3 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_3_3 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_3_3 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 4 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_4_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 4 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_4_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 5 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3) + (pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2) + (pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1) + (pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0) + (pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 3 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 3 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 4 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 4 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 4 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 4 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 5 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3) + (pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2) + (pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1) + (pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0) + (pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 3 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 4 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 3 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 3 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 4 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 4 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 4 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 4 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 4 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 5 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3) + (pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2) + (pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1) + (pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0) + (pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 4 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 3 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 4 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 3 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 3 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 4 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 4 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 4 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 4 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 4 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 4 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 5 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4) + (pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 4 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 4 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 3 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 4 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 3 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 3 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 4 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3) + (pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 2 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 2 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 2 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 2 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 2 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 2 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2) + (pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 3 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 3 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 3 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 3 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 3 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 3 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 4 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1) + (pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 4 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 4 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 4 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 4 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 4 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 0 & k_4 = 5 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4) + (pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 4 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 4 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 4 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 3 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 4 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3) + (pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 1 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 1 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2) + (pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 2 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 2 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1) + (pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 3 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 3 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 1 & k_4 = 4 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3) + (pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 2 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 2 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 2 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 2 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 2 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 2 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2) + (pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 2 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 2 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 2 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 2 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 2 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 2 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 2 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1) + (pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 2 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 2 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 2 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 2 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 2 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 2 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2) + (pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 3 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 3 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 3 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 3 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 3 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 3 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 3 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1) + (pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 3 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 3 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 3 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 3 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 3 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 3 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 4 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1) + (pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 4 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 2) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 4 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 4 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 4 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 4 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 4 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 2 & k_3 = 5 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 0) & (k_3' = 2) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_5_4) + (pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3) + (pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2) + (pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1) + (pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0) + (pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 4 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 4 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 4 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 4 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3) + (pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 1 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2) + (pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 2 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1) + (pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 3 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 0 & k_4 = 4 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3) + (pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 1 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2) + (pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 1 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1) + (pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 1 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 1 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2) + (pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 2 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1) + (pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 2 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 2 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1) + (pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 3) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 3 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 3 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 3 & k_3 = 4 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 0) & (k_3' = 3) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_4_3) + (pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2) + (pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1) + (pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2) + (pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1) + (pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1) + (pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 4) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 4 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 0) & (k_3' = 4) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 5 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2) + (pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 5 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 5 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 0 & k_2 = 5 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 5 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 5 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 5 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 5 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 5 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 5 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 5 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 5 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 5 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 5 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 5 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 5 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 5 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 5 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 5 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 5 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 5 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 5 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1) + (pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 5 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 5 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 5 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 5 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 5 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 5 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 5 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1) + (pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 5) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 5 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 5) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 5) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 5) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 5 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 5) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 5) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 5 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 5) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 5) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 5 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 5) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 5) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 5 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 5) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 5) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 5 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 0) & (k_3' = 5) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 5 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 0) & (k_3' = 5) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 6 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
			(k_1' = 2) & (k_2' = 0) & (k_3' = 6) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 6 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 0) & (k_3' = 6) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 6) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 0 & k_2 = 6 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 6) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 6) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 6 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 6) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 6) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 6 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 6) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 6) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 6 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 6) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 0) & (k_3' = 6) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 6 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 0) & (k_3' = 6) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 6 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 0) & (k_3' = 6) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 0 & k_2 = 7 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 0) & (k_3' = 7) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 7) ->
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 6) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_6_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_6_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_6_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_6_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_6_2) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_6_2) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_6_3) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_6_3) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_6_4) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_6_4) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_6_5) + (pr_fail_1_1 * pr_fail_6_5)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_6_6)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_2 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_2 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_5_4) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_5_4) + (pr_fail_2_2 * pr_fail_5_4)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_2 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_3 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_2 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_3_3 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_3_3 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_4_3) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_4_3) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_4_3) + (pr_fail_3_3 * pr_fail_4_3)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 4 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_3 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_4_4 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_4_3 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_4_4 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_3_2) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_3_2) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_3_2) + (pr_fail_0_0 * pr_fail_4_3 * pr_fail_3_2) + (pr_fail_4_4 * pr_fail_3_2)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 5 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_5_4 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_5_5 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_5_3 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_5_4 * pr_fail_2_1) + (pr_fail_5_5 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 6 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_2 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_3 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_6_4 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_6_5 * pr_fail_1_0) + (pr_fail_6_6 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 6);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 6) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_6_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_6_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_6_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_6_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_6_2) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_6_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_6_3) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_6_3) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_6_4) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_6_4)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_6_5)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_6_6)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_1 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_1 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_5_2) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_5_3) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_5_3) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_5_3) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_5_3) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_5_4) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_5_4)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_5_4)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_2 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_2 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_2 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_2_2 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_4_2) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_4_2) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_4_2) + (pr_fail_1_1 * pr_fail_2_2 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_4_3) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_4_3) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_4_3) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_4_3)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 3 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_3 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_3_3 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_3_2 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_3_3 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_3_3 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_3_2) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_3_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_3_2) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_3_2 * pr_fail_3_2)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 4 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_4_3 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_4_4 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_4_4 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_4_2 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_4_3 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_4_3 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 5 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_2 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_2 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_3 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_5_3 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_5_4 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_5_4 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_5 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 5);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_5_2) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_5_3) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_5_3) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_2_2 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_4_2) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_2_2 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_4_3) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_4_3) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_2_2 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_2_2 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_3_2) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_3_2) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_3_2) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_3_2) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_3_2) + (pr_fail_2_2 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_3_1 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_3_2 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_2 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_2 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_4_2 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_3 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_4_3 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 4);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_3_3 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_3_3 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_3_3 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_3 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_3_3 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_3_3 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_3_2 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_3_3 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_3_3 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_3_3 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_3_3 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_3_3 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_3_2 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_3_3 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_3 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 4 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_4_3 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_4_4 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_4_1 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_4_3 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_4_4 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 4 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_4_4 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_4_3 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_4_4 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_4_3 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_4_4 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 4 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_3 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_4_4 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_4_3 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_4_4 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 5 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_5_2 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_5_3 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_5_4 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_5_5 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 5 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_5_2 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_5_3 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_5_4 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_5_5 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 6 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 6) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 6) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 6) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_2) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_2)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_3)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_4) + (pr_fail_0_0 * pr_fail_6_5)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_6_6)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_2) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_2)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_3)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_4) + (pr_fail_1_1 * pr_fail_5_4)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_2) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_2)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_3) + (pr_fail_2_2 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 3 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_2)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_2) + (pr_fail_3_3 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 4 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_4_4 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_3 * pr_fail_2_1) + (pr_fail_4_4 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 5 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_2 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_2 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_3 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_5_4 * pr_fail_1_0) + (pr_fail_5_5 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 5);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_2) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_2) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_2) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_2) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_2) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_2 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_2 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 4);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_2 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 3 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_3_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 3 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_3_3 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 3 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 4 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_4_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_4_2 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_4_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 4 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_4_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_4_2 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_4_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 5 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 5) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 5) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3) + (pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2) + (pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1) + (pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0) + (pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_2_2 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 2 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 2 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 2 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 3 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 3 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 4 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_3_3 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_3_3 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_3_3 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_3_3 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 4 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 4 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 4 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 4 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 4 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 4 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 5 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 5 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 5 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 6 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 6) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 6) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 6) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_0)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_2) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_3)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_4) + (pr_fail_0_0 * pr_fail_6_5)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_6_6)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 5) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_0)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_3)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_4) + (pr_fail_1_1 * pr_fail_5_4)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_0)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_3) + (pr_fail_2_2 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_3 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_2) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_2) + (pr_fail_3_3 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 4 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_4 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_3 * pr_fail_2_1) + (pr_fail_4_4 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 5 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_5_3 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4 * pr_fail_1_0) + (pr_fail_5_5 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_0)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_2) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_2) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_0)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_2) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_2) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_2) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_4_2 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_3_3 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 3 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_3_3 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_3_3 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 3 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 4 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_4_2 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_4_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 4 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_4_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 5 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 5) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3) + (pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2) + (pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1) + (pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0) + (pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 2 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 2 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 3 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 3 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 4 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 7) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 3 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 3 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 3 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 3 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 3 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 4 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 4 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 4 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 5 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 5) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3) + (pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2) + (pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1) + (pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0) + (pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 2 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 3 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 4 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 2 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 2 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 2 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 3 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 3 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 4 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 4 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 4 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 4 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 4 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 4 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 4 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 4 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 4 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 4 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 4 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 5 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 5 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 5 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 5 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 6 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 6) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 6) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 6) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_2) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_3)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_4) + (pr_fail_0_0 * pr_fail_6_5)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_6_6)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_3)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_4) + (pr_fail_1_1 * pr_fail_5_4)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_3) + (pr_fail_2_2 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_3 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_2) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_2) + (pr_fail_3_3 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 4 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_4 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_3 * pr_fail_2_1) + (pr_fail_4_4 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 5 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_5_3 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4 * pr_fail_1_0) + (pr_fail_5_5 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_2) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_2) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_2) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_2) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_2) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_4_2 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_3_3 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_3_3 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_3_3 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 4 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_2 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_4_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 4 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_4_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 5 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3) + (pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2) + (pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1) + (pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0) + (pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 3 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 3 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 4 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 3 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 3 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 3 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 4 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 4 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 4 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 5 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3) + (pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2) + (pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1) + (pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0) + (pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 3 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 4 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 2 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 2 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 3 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 3 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 4 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 3 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 3 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 3 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 3 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 3 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 3 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 3 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 4 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 4 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 4 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 4 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 5 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3) + (pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2) + (pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1) + (pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0) + (pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 4 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 2 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 3 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 4 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 2 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 2 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 2 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 3 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 3 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 4 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 4 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 4 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 4 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 4 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 4 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 4 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 4 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 4 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 4 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 4 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 4 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 4 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 4 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 4 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 4 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 5 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 5 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 5 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 5 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 5 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 6 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 6) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 6) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 6) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_2)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_3) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_4)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_6_5) + (pr_fail_6_6)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_2)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_4)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_5_4)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_2)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_3) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_3 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_2) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 4 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_4 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_4_3 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 5 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_3 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_5_4 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_5 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_2) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_3) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_2) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_3) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_2) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_2 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_4_3 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_2_2 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_3_3 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_3_3 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_3_3 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 4 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_3 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_4_4 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 4 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_3 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_4_4 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 5 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 3 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 3 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 4 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 4 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 4 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 4 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 5 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 3 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 4 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 3 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 3 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 4 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 3 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 3 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 3 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 3 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 4 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 4 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 4 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 4 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 5 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 4 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 3 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 4 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 2 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 2 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 3 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 3 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 4 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 3 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 3 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 3 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 3 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 3 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 3 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 3 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 3 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 3 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 4 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 4 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 4 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 4 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 4 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 5 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4) + (pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 4 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 4 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 2 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 3 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 4 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 2 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 2 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 2 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 3 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 3 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 4 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3) + (pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 4 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2) + (pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 4 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 4 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 4 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 4 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 4 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 4 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 4 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 4 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 4 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 4 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 4 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 4 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 4 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 4 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 4 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 4 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 4 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 4 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 4 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 4 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 5 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1) + (pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 5 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 5 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 5 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 5 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 5 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 0 & k_4 = 6 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 6) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 6) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_2) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_3) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_4)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_6_5) + (pr_fail_6_6)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_4)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_5_4)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_3) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_3 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_3 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_2) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_2) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 4 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_4 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_4_3 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 5 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_5_3 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_5_4 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_5 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_2) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_2) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_3) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_2) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_2) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_3) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_2) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_4_2 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_4_3 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_2_2 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_3_3 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_3_3 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_3_3 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_3_3 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_3_3 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 4 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_2 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_4_3 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_4_4 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 4 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_4_3 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_4_4 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 5 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 3 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 3 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 4 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 4 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 4 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 4 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 5 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 3 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 4 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 3 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 3 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 4 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 4 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 4 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 4 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 4 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 5 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 4 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 3 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 4 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 3 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 3 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 4 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 3 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 3 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 3 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 3 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 3 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 4 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 4 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 4 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 4 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 4 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 5 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4) + (pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 4 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 4 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 3 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 4 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 2 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 2 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 3 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 3 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 4 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3) + (pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2) + (pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 3 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 3 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 3 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 3 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 3 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 3 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 3 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 3 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 3 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 3 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 3 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 4 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1) + (pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 4 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 4 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 4 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 4 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 4 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 1 & k_4 = 5 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4) + (pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 4 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 4 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 4 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 2 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 3 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 4 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3) + (pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2) + (pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 2 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 2 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 2 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1) + (pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 3 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 3 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 2 & k_4 = 4 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3) + (pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 3 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2) + (pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 3 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 3 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 3 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 3 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 3 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 3 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 3 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 3 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 3 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 3 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 3 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 3 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 3 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 3 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 3 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 3 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 3 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 3 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 3 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 3 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 3 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1) + (pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 3 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 3 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 3 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 3 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 3 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 3 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 4 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2) + (pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 4 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 4 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 4 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 4 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 4 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 4 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 4 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 4 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 4 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 4 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 4 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 4 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 4 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 4 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 4 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 4 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 4 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 4 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 4 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 4 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 4 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1) + (pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 4 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 4 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 4 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 4 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 4 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 4 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 5 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1) + (pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 5 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 5 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 5 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 5 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 5 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 5 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 5) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 0 & k_3 = 6 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 1) & (k_3' = 0) & (k_4' = 6) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 6) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_2) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_3)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_6_4) + (pr_fail_0_0 * pr_fail_6_5) + (pr_fail_6_6)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_3)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_4) + (pr_fail_1_1 * pr_fail_5_4)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_3) + (pr_fail_2_2 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_3 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_2) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_2) + (pr_fail_3_3 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 4 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_4 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_3 * pr_fail_2_1) + (pr_fail_4_4 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 5 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_5_3 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4 * pr_fail_1_0) + (pr_fail_5_5 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_2) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_2) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_2) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_2) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_2) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_4_2 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_3_3 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_3_3 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_3_3 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 4 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_4_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 4 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_4_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 5 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3) + (pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2) + (pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1) + (pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0) + (pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 3 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 3 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 4 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 4 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 4 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 4 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 5 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3) + (pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2) + (pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1) + (pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0) + (pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 3 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 4 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 3 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 3 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 4 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 4 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 4 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 4 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 4 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 5 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3) + (pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2) + (pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1) + (pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0) + (pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 4 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 3 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 4 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 3 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 3 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 4 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 4 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 4 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 4 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 4 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 4 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 5 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4) + (pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 4 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 4 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 3 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 4 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 3 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 3 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 4 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3) + (pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2) + (pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 3 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 3 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 3 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 3 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 3 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 3 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 4 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1) + (pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 4 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 4 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 4 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 4 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 4 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 0 & k_4 = 5 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4) + (pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 4 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 4 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 4 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 3 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 4 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3) + (pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2) + (pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 2 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 2 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1) + (pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 3 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 3 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 1 & k_4 = 4 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3) + (pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2) + (pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 2 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 2 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 2 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 2 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 2 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 2 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 2 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1) + (pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 2 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 2 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 2 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 2 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 2 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 2 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2) + (pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 3 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 3 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 3 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 3 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 3 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 3 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 3 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1) + (pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 3 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 3 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 3 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 3 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 3 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 3 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 4 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1) + (pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 4 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 4 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 4 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 4 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 4 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 4 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 1 & k_3 = 5 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 1) & (k_3' = 1) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_5_4) + (pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3) + (pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2) + (pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1) + (pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0) + (pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 4 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 4 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 4 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 4 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3) + (pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2) + (pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 2 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1) + (pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 3 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 0 & k_4 = 4 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3) + (pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2) + (pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 1 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1) + (pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 1 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 1 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2) + (pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 2 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1) + (pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 2 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 2 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1) + (pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 3 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 3 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 2 & k_3 = 4 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 1) & (k_3' = 2) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_4_3) + (pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2) + (pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1) + (pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2) + (pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1) + (pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1) + (pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 3 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 1) & (k_3' = 3) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 4 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2) + (pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 4 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 4 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 1 & k_2 = 4 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 4 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 4 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 4 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 4 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 4 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 4 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 4 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 4 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 4 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 4 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 4 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 4 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 4 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 4 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 4 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 4 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 4 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 4 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1) + (pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 4 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 4 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 4 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 4 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 4 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 4 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 4 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1) + (pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 4 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 4 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 4 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 4 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 4 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 4 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 1) & (k_3' = 4) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 4 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 1) & (k_3' = 4) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 5 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
			(k_1' = 2) & (k_2' = 1) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 5 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 1) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 1 & k_2 = 5 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 5 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 5 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 5 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 1) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 5 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 1) & (k_3' = 5) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 5 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 1) & (k_3' = 5) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 1 & k_2 = 6 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 1) & (k_3' = 6) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 6) ->
			(k_1' = 6) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_5_4) + (pr_fail_1_1 * pr_fail_5_4)):
			(k_1' = 6) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_4_3) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_4_3) + (pr_fail_2_2 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_3 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_3 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_3_2) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_3_2) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_3_2) + (pr_fail_3_3 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 4 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_4 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_4_3 * pr_fail_2_1) + (pr_fail_4_4 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 5 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_5_3 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_5_4 * pr_fail_1_0) + (pr_fail_5_5 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_2) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_2) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_5_3) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 6) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_2) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_2) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_4_3) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 6) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_3_2) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_4_2 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_4_3 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 6) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_2_2 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 6) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_3_3 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_3_3 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_3_3 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_3_3 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_3_3 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 4 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_4_3 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_4_4 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 4 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_4_3 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_4_4 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 5 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 5) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1)):
			(k_1' = 6) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3) + (pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2) + (pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1) + (pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0) + (pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 6) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 6) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 6) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 3 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 3 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 4 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 6) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 6) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 6) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 6) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 6) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 4 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 4 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 4 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 5 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 5) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3) + (pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2) + (pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1) + (pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0) + (pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 3 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 4 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 3 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 3 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 4 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 4 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 4 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 4 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 4 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 5 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 5) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_5_4)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3) + (pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2) + (pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1) + (pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0) + (pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 4 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 3 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 4 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 3 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 3 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 4 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 4 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 4 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 4 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 4 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 4 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 5 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 5) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 5) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4) + (pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 4 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 4 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 3 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 4 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 3 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 3 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 4 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3) + (pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2) + (pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 4 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1) + (pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 4 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 4 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 4 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 4 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 4 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 0 & k_4 = 5 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 5) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_5_4) + (pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 4 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 4 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 4 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 3 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 4 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3) + (pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2) + (pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1) + (pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 3 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 3 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 1 & k_4 = 4 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3) + (pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2) + (pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 2 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1) + (pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 2 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 2 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 2 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 2 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 2 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 2 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2) + (pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 3 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1) + (pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 3 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 3 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 3 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 3 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 3 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 3 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 4 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1) + (pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 4 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 4 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 4 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 4 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 4 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 4 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 4) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 0 & k_3 = 5 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 2) & (k_3' = 0) & (k_4' = 5) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 5) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_2)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_5_3) + (pr_fail_0_0 * pr_fail_5_4) + (pr_fail_5_5)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3) + (pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2) + (pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1) + (pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0) + (pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 4 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 4 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 4 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 4 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3) + (pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2) + (pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1) + (pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 3 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 0 & k_4 = 4 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3) + (pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2) + (pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1) + (pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 1 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 1 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2) + (pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1) + (pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 2 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 2 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1) + (pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 3 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 3 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 1 & k_3 = 4 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 2) & (k_3' = 1) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_4_3) + (pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2) + (pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1) + (pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2) + (pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1) + (pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1) + (pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 2 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 2) & (k_3' = 2) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2) + (pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 2 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 3 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1) + (pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 3 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 3 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 3 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 3 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 3 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 3 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 3 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1) + (pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 3 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 3 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 3 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 3 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 3 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 3 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 2) & (k_3' = 3) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 3 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 2) & (k_3' = 3) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 4 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
			(k_1' = 2) & (k_2' = 2) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 4 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 2) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 2 & k_2 = 4 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 4 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 4 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 4 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 2) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 4 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 2) & (k_3' = 4) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 4 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 2) & (k_3' = 4) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 2 & k_2 = 5 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 2) & (k_3' = 5) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 5) ->
			(k_1' = 5) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_4_3) + (pr_fail_1_1 * pr_fail_4_3)):
			(k_1' = 5) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_3_2) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_3_2) + (pr_fail_2_2 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_3 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_2_1) + (pr_fail_3_3 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 4 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_2 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_4_3 * pr_fail_1_0) + (pr_fail_4_4 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 5) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 5) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 5) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 5) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_3_2 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_3_3 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_3_2 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 4 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 4) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 5) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 5) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 5) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 5) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 4 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 4) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 4 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 4) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_4_3)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 4 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 4) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 4) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3) + (pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2) + (pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1) + (pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 0 & k_4 = 4 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 4) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_4_3) + (pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2) + (pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1) + (pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 1 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2) + (pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1) + (pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 2 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1) + (pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 3 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 3) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 0 & k_3 = 4 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 3) & (k_3' = 0) & (k_4' = 4) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_1)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_4_2) + (pr_fail_0_0 * pr_fail_4_3) + (pr_fail_4_4)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2) + (pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1) + (pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2) + (pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1) + (pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1) + (pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 1 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 3) & (k_3' = 1) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2) + (pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 3 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1) + (pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 2 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1) + (pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 2 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 3) & (k_3' = 2) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 2 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 3) & (k_3' = 2) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
			(k_1' = 2) & (k_2' = 3) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 3) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 3 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 3) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 3 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 3) & (k_3' = 3) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 3 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 3) & (k_3' = 3) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 3 & k_2 = 4 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 3) & (k_3' = 4) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 4) ->
			(k_1' = 4) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_3_2) + (pr_fail_1_1 * pr_fail_3_2)):
			(k_1' = 4) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_2 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_0 * pr_fail_2_1) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_2_1) + (pr_fail_2_2 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 3 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_1 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_3_2 * pr_fail_1_0) + (pr_fail_3_3 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_1_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 4) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_1_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 4) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_1_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_1 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_2_2 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 4) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_1 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 4) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 3 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 3) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 3 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 3) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 3 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 3) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2)):
			(k_1' = 3) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 3 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 3) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 3) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2) + (pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1) + (pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 0 & k_4 = 3 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 3) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0) + (pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1)):
			(k_1' = 3) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_3_2) + (pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1) + (pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 1 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1) + (pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 2 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 2) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 0 & k_3 = 3 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 4) & (k_3' = 0) & (k_4' = 3) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_0)):
			(k_1' = 3) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_3_1) + (pr_fail_0_0 * pr_fail_3_2) + (pr_fail_3_3)):
			(k_1' = 3) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 4 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 4 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 4) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 4 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 4 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 4 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 4 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1) + (pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 4 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 1 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1) + (pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 4 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 1 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 4) & (k_3' = 1) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 1 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 4) & (k_3' = 1) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
			(k_1' = 2) & (k_2' = 4) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 4) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 4 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 4) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 2 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 4) & (k_3' = 2) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 2 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 4) & (k_3' = 2) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 4 & k_2 = 3 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 4) & (k_3' = 3) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 5 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 3) ->
			(k_1' = 3) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 5 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_1 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_1_0 * pr_fail_2_1) + (pr_fail_1_1 * pr_fail_2_1)):
			(k_1' = 3) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 5 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 2 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_2_0 * pr_fail_1_0) + (pr_fail_0_0 * pr_fail_2_1 * pr_fail_1_0) + (pr_fail_2_2 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2);
	[step] (assigned & k_1 = 5 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_1_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_1_1 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 3) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 5 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_1_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 3) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1);
	[step] (assigned & k_1 = 5 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 2 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 2) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0);
	[step] (assigned & k_1 = 5 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 5 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 5 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 5 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 2 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 2) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 5 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 5 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 5 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 5 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 5 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 2 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 2) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 5 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0) + (pr_fail_0_0 * pr_fail_2_1)):
			(k_1' = 2) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 5 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 5 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 5 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 5 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 5 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 2 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 2) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 2) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 5 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1) + (pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 5 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 5 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 5 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 5 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 5 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 5 & k_2 = 0 & k_3 = 0 & k_4 = 2 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 2) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 5 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
		((pr_fail_0_0 * pr_fail_0_0 * pr_fail_2_0)):
			(k_1' = 2) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_0_0 * pr_fail_2_1) + (pr_fail_2_2)):
			(k_1' = 2) & (k_2' = 5) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 5 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 5) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 5) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 5) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 5 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 5) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 5) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 5 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 5) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 5) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 5 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 5) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 5) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 5 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 5) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 5) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 5 & k_2 = 0 & k_3 = 1 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 5) & (k_3' = 0) & (k_4' = 1) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 5 & k_2 = 0 & k_3 = 2 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 5) & (k_3' = 0) & (k_4' = 2) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 5 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
			(k_1' = 2) & (k_2' = 5) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 5 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 5) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 5) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 5 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 5) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 5) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 5 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 5) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 5) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 5 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 5) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 5) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 5 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 5) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 5) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 5 & k_2 = 1 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 5) & (k_3' = 1) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 5 & k_2 = 1 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 5) & (k_3' = 1) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 5 & k_2 = 2 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 5) & (k_3' = 2) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 6 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 2) ->
			(k_1' = 2) & (k_2' = 6) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 6 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 1 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0 * pr_fail_1_0) + (pr_fail_1_1 * pr_fail_1_0)):
			(k_1' = 2) & (k_2' = 6) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 6) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1);
	[step] (assigned & k_1 = 6 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 1 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 6) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 1) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 6) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0);
	[step] (assigned & k_1 = 6 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 1 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 6) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 1) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 6) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 6 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 1 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 6) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 1) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 6) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 6 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 1 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
		((pr_fail_0_0 * pr_fail_1_0)):
			(k_1' = 1) & (k_2' = 6) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 1) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0) +
		((pr_fail_1_1)):
			(k_1' = 1) & (k_2' = 6) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 1) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 6 & k_2 = 0 & k_3 = 0 & k_4 = 1 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 6) & (k_3' = 0) & (k_4' = 0) & (k_5' = 1) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 6 & k_2 = 0 & k_3 = 1 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 6) & (k_3' = 0) & (k_4' = 1) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 6 & k_2 = 1 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 6) & (k_3' = 1) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
	[step] (assigned & k_1 = 7 & k_2 = 0 & k_3 = 0 & k_4 = 0 & k_5 = 0 & k_6 = 0 & k_7 = 0 & k_8 = 0 & k_9 = 0 & k_10 = 1) ->
			(k_1' = 1) & (k_2' = 7) & (k_3' = 0) & (k_4' = 0) & (k_5' = 0) & (k_6' = 0) & (k_7' = 0) & (k_8' = 0) & (k_9' = 0) & (k_10' = 0);
endmodule